Question

Salim is half his mother's age now. Ten years ago, he was one third his mother's age then. What are their present ages?

Answer 1

Answer:

Salim is 20 years and his mother is 40 years old.

Step-by-step explanation:

Currently:

$s = \frac{m}{2}$

Ten years ago:

$(s - 10) = \frac{(m - 10)}{3}$

Substituting one eqn in the other.

3s - 30 = 2s - 10

or, s = 20

m is twice that as s age, therefore, m = 40