Question

Aloks age is twice that of his son. His wife is 30 years older that his son. When his son was born he was 35 years old. Find his wifes present age (in years)

Answer 1

Answer:

His wife is 65 years old

Step-by-step explanation:

Define x:

Let the son be x years old

Aloks = 2x

Wife = x + 30

When the son was born, Aloks was 35 years old

⇒ He is 35 years older than his son

Solve x:

x +35 = 2x

x = 35

Find their present age:

Son = x = 35 years old

Aloks = 2x = 2(35) = 70 years old

Wife = x + 30 + 35 + 30 = 65 years old

Answer: His wife is 65 years old

Answer 2

Given:

Alok = 2 son

Wife = 30 + son

Son = 35 Alok

To find:

The age of the wife.

Solution:

Alok = 35 + son

Substituting,

2 son = 35 + son

son = 35 years old

Then,

Wife = son + 30

35 + 30

Wife = 65 years old

Hence, the his wife is 65 years old