How do i solve this problem?

Question

It’s a word problem that says, “Grace is 9 years old and Ruth is 6 years older than Grace. Express Ruth’s age as a fraction of their total age in lowest terms.”

Answer 1

It’s a word problem that says, “Grace is 9 years old and Ruth is 6 years older than Grace. Express Ruth’s age as a fraction of their total age in lowest terms.”

OK, the forst thing we have is: Grace is 9 years old.

So, let us write G = 9, where G is the age of Grace.

The next thing we have is: Ruth is 6 years older than Grace.

So, let us write R = G + 6, where R is the age of Ruth.

Our two equations now are,

G = 9

R = G + 6

So, very obviously, R = 15

And total age is T = R + G = 15 + 6 = 21.

What we want is: Express Ruth’s age as a fraction of their total age in lowest terms.

i.e. R/T = 15/21 = 5/7