# Age problem [Solved!]

**Maria** 26 Nov 2015, 09:27

### My question

Can u please help me with this problem:

In 10 years' time Ryan will be twice as old as Omar. !0 years ago he wa 6 times as old. How old are they both now? thank you

### Relevant page

6. Applied Verbal Problems

### What I've done so far

I put R = Ryan

O = Omar

then R + 10 = 2O

But I'm stuck there

X

Can u please help me with this problem:
In 10 years' time Ryan will be twice as old as Omar. !0 years ago he wa 6 times as old. How old are they both now? thank you

Relevant page
<a href="/basic-algebra/6-applied-verbal-problems.php">6. Applied Verbal Problems</a>
What I've done so far
I put R = Ryan
O = Omar
then R + 10 = 2O
But I'm stuck there

## Re: Age problem

**Newton** 27 Nov 2015, 03:48

Hello Maria

Good to hear from you again.

This problem is similar to the ones on the page you came from:

6. Applied Verbal Problems

You can actually do these by trial and error more quickly (and easier :-), since the number of possible ages is low.

But let's assume you have to do it by algebra.

Let `x` be Ryan's age now and let `y` be Omar's age now.

In 10 years, Ryan's age will be

`x + 10`

Omar will be

`y + 10`

From the first sentence,

`x + 10 = 2(y + 10)`

Do you think you can go on from there?

(BTW, it's maybe not a good idea to use "O" as a variable - it looks too much like 0, the number!)

Regards

X

Hello Maria
Good to hear from you again.
This problem is similar to the ones on the page you came from:
<a href="/basic-algebra/6-applied-verbal-problems.php">6. Applied Verbal Problems</a>
You can actually do these by trial and error more quickly (and easier :-), since the number of possible ages is low.
But let's assume you have to do it by algebra.
Let `x` be Ryan's age now and let `y` be Omar's age now.
In 10 years, Ryan's age will be
`x + 10`
Omar will be
`y + 10`
From the first sentence,
`x + 10 = 2(y + 10)`
Do you think you can go on from there?
(BTW, it's maybe not a good idea to use "O" as a variable - it looks too much like 0, the number!)
Regards

## Re: Age problem

**Maria** 27 Nov 2015, 17:47

Hi Murray,

Yes i managed from there

I put from the second sentence

`x-10 = 6(y-10)`

`x-10 = 6y-60`

`x = 6y - 50`

Then

`x+10 = 2y+20` (from your input)

`x = 2y+10`

SO

`6y - 50 = 2y + 10` (both equal to `x`)

`4y = 60`

`y = 15`.

So Omar is now 15, and this gives Ryan is 40. This works in both statements.

Thank you so much for your help, very much appreciated.

Maria

X

Hi Murray,
Yes i managed from there
I put from the second sentence
`x-10 = 6(y-10)`
`x-10 = 6y-60`
`x = 6y - 50`
Then
`x+10 = 2y+20` (from your input)
`x = 2y+10`
SO
`6y - 50 = 2y + 10` (both equal to `x`)
`4y = 60`
`y = 15`.
So Omar is now 15, and this gives Ryan is 40. This works in both statements.
Thank you so much for your help, very much appreciated.
Maria

## Re: Age problem

**Murray** 28 Nov 2015, 19:05

You're welcome, Maria.

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