Question

Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now? !PLS ANSWER QUICK! I will be giving out best answer, thumbs ups and thank you's as well!

Answer 1

Given that Mary is three times as old as her son. In 12 years Mary will be twice as old as her son.

We need to determine the age of Mary and her son.

Let x denote the age of Mary.

Let y denote the age of her son.

Writing in the expression form of their ages, we have;

`x=3y` -------(1)

`x+12=2(y+12)` --------(2)

Age of Mary and her son:

Let us determine the values of x and y.

Substituting
`x=3y` in the equation (2), we have;

`3y+12=2(y+12)`

`3y+12=2y+24`

`y+12=24`

`y=12`

Thus, the value of y is 12.

Substituting
`y=12` in equation (1), we get;

`x=3(12)`

`x=36`

Thus, the value of x is 36.

Therefore, now the age of Mary is 36 years and her son is 12 years.