A women is now 3 times as old as his son.In 10 years times , the sum of their ages will be 76. How old was the woman when her son was born ?

Answer 1

W = Women´s present age

S = Son´s present age

A women is now 3 times as old as his son means:

W = 3 S

After 10 yrs women will be W + 10 yrs old, son wil bee S + 10 yrs old.

In 10 years times, the sum of their ages will be 76 means:

W + 10 + S + 10 = 76

Replace W = 3 S in this equation:

3 S + 10 + S + 10 = 76

4 S + 20 = 76

Subtract 20 to both sides

4 S = 56

Divide both sides by 4

S = 14

Son´s present age = 14

W = 3 S = 3 * 14 = 42

Woman´s present age = 42

When her son was born woman was 42 - 14 = 28 yrs old

Answer 2

Excellent, I have tried this using bizarre methods. This explanation is straight and simple. Thanks