Question

Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Christina’s age? Joe’s age? Aaron’s age?

Answer 1

Answer

If Christina's age is = x

Aaron's age is = x + 6

Jeo's age = 3(x + 6 )

So, the sum of their ages can be write as,

$x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24$

Also, they have given that the sum of their ages is 149

Therefore we can write a equation as,

$5x + 24 = 149$

Now let's solve this and find the age of Christina

$5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\ \frac{5x}{5} = \frac{125}{5} \\ x = 25$

Aaron's age is

$x+ 6 \\ 25 + 6 \\ = 31$

Joe's age is

$3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\ = 93$

Hope this helps you.

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