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

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

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

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