# Can anyone explain me this problem?

**URL:** <https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304>\
**Category:** Unrelated Discussion\
**Created:** [February 25, 2019, 7:57am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304 "2019-02-25T07:57:36Z")\
**Posts on this page:** 15\
**Page:** 1

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**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 25, 2019, 7:57am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/1 "2019-02-25T07:57:36Z")

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![ratio](https://us1.discourse-cdn.com/flex015/uploads/yoyoexpert1/original/4X/4/f/a/4fa46d0c7bc2e0469c43beace8800db4a49c25e1.png)

I need step-by-step explanation.

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**Author:** ![yoyodoc](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/yoyodoc/32/48820_2.png) [@yoyodoc](https://forums.yoyoexpert.com/u/yoyodoc)\
**Post date:** [February 25, 2019, 9:01am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/2 "2019-02-25T09:01:43Z")

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I thought I was good in math back when the continents were forming. But it must have just been a dream I had. Because I worked it out in a simplified manner before I read the explanation in the lower section. And I haven’t the slightest clue why (b) is the correct ratio? Hahaha

As soon as I saw the age difference; I thought ‘3 times older’? Ok; dad is 30; kid is 10.  
Ten years later; dad is 40; kid is 20.

Ratio of current age is 2 to 1.

Sorry; I guess I just don’t understand the question🤔

There must be other applications of ratio that I am just not aware of?

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**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 25, 2019, 9:09am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/3 "2019-02-25T09:09:00Z")

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@yoyodoc funny answer.

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**Author:** ![FourCorner](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/fourcorner/32/122296_2.png) [@FourCorner](https://forums.yoyoexpert.com/u/FourCorner)\
**Post date:** [February 25, 2019, 12:28pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/4 "2019-02-25T12:28:10Z")

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Let the current age of the father be x  
and the current age of the son y

10 years ago the age of the father was x - 10  
and the age of the son was y - 10  
At that point the father is three times as old was the son  
which means that three times the son’s age equals the fathers age.  
x - 10 = 3(y - 10)

in ten year time the father will be x + 10  
and the son y + 10  
At that point the father will twice as old as the son, or twice the son’s age will equal the father’s age  
x + 10 = 2(y + 10)

Now solve that two equations and you will get the current ages.

Hope this helps!

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**Author:** ![yofanatic05](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/yofanatic05/32/35770_2.png) [@yofanatic05](https://forums.yoyoexpert.com/u/yofanatic05)\
**Post date:** [February 25, 2019, 1:19pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/5 "2019-02-25T13:19:50Z")

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The dad is 70 now and the kid is 30 now. (7 : 3)

Ten years ago the dad was 60 and the kid was 20. (3 : 1)

Ten years from now the dad will be 80 and the kid will be 40 (2 : 1)

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**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 25, 2019, 1:25pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/6 "2019-02-25T13:25:50Z")

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Ok i will try solving both the equations.

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**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 25, 2019, 2:21pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/7 "2019-02-25T14:21:17Z")

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i got x=5y-10/2 by solving both equations

but what is the value of x and y?

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**Author:** ![MarkD](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/markd/32/40845_2.png) [@MarkD](https://forums.yoyoexpert.com/u/MarkD)\
**Post date:** [February 25, 2019, 2:38pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/8 "2019-02-25T14:38:14Z")

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> [@FourCorner](#):
>
> 10 years ago the age of the father was x - 10  
> and the age of the son was y - 10  
> At that point the father is three times as old was the son  
> which means that three times the son’s age equals the fathers age.  
> x - 10 = 3(y - 10)
> 
> in ten year time the father will be x + 10  
> and the son y + 10  
> At that point the father will twice as old as the son, or twice the son’s age will equal the father’s age  
> x + 10 = 2(y + 10)

You have two equations to solve. First isolate x in both:

```auto
x - 10 = 3(y - 10)
x + 10 = 2(y + 10)

x = 3(y - 10) + 10
x = 2(y + 10) - 10

```

You have two different things that both equal x, so you can put them into the same equation:  
`3(y - 10) + 10 = 2(y + 10) - 10`  
Now solve for y:

```auto
3y - 30 + 10 = 2y + 20 - 10
3y - 20 = 2y + 10
y - 20 = 10
y = 30

```

Now substitute 30 for y in one of the x equations:

```auto
x = 2(30+10)-10
x = 60 + 20 - 10
x = 70

```

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<div class="post-metadata">

**Author:** ![EthanV](https://avatars.discourse-cdn.com/v4/letter/e/4491bb/32.png) [@EthanV](https://forums.yoyoexpert.com/u/EthanV)\
**Post date:** [February 25, 2019, 8:25pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/9 "2019-02-25T20:25:57Z")

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how do u do that textbox thing?

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**Author:** ![codinghorror](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/codinghorror/32/8052_2.png) [@codinghorror](https://forums.yoyoexpert.com/u/codinghorror)\
**Post date:** [February 25, 2019, 8:26pm UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/10 "2019-02-25T20:26:48Z")

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Try the cheatsheet at [Markdown Reference](https://commonmark.org/help) or the tutorial there!

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<div class="post-metadata">

**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 26, 2019, 4:32am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/12 "2019-02-26T04:32:24Z")

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Good Thank you.

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**Author:** ![NoT\_ATHROWER](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/not_athrower/32/14242_2.png) [@NoT\_ATHROWER](https://forums.yoyoexpert.com/u/NoT_ATHROWER)\
**Post date:** [February 26, 2019, 5:32am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/13 "2019-02-26T05:32:33Z")

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Maybe I will use yoyoexpert forums for math help now! lol, I probably actually will.

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<div class="post-metadata">

**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 26, 2019, 5:34am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/14 "2019-02-26T05:34:19Z")

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yes I and all others are waiting for your questions.

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<div class="post-metadata">

**Author:** ![yoyodoc](https://sea1.discourse-cdn.com/flex015/user_avatar/forums.yoyoexpert.com/yoyodoc/32/48820_2.png) [@yoyodoc](https://forums.yoyoexpert.com/u/yoyodoc)\
**Post date:** [February 26, 2019, 9:05am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/15 "2019-02-26T09:05:16Z")

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Ok… I finally understand it🤓

Right now you guys are 3 times smarter than me. In ten years you will be 4 times smarter than me.

So the ratio in 10 years will be : 1whole brain to 1half brain.

Piece a cake🤡

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<div class="post-metadata">

**Author:** ![anon24651](https://avatars.discourse-cdn.com/v4/letter/a/8491ac/32.png) [@anon24651](https://forums.yoyoexpert.com/u/anon24651)\
**Post date:** [February 26, 2019, 10:17am UTC](https://forums.yoyoexpert.com/t/can-anyone-explain-me-this-problem/299304/16 "2019-02-26T10:17:46Z")

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i think all it takes is practice and consistency.
