A person's present age is two - fifth of the age of his mother. After

1.	A person's present age is two - fifth of the age of his mother. After 8 years, he will be one half of the age of his mother. How old is the mother at present?1. 44 years2. 42years3. 40years4. 55years
Answer» Correct Answer - Option 3 : 40years Calculation: Let present age of mother is x, then present age of his son= 2x/5 After 8 year, Son's age = (2x/5 + 8)years Mother's age = (x + 8)years According to the question: Son's age is1/2 time of mother's 2x/5 + 8 = 1/2(x + 8) ⇒ (2x + 40)/5= x/2 + 4 ⇒(2x + 40)/5= (x + 8)/2 ⇒ 4x + 80 = 5x + 40 ⇒ x = 40years ∴ Present ageof mother is 40 years.

A person's present age is two - fifth of the age of his mother. After 8 years, he will be one half of the age of his mother. How old is the mother at present?1. 44 years2. 42years3. 40years4. 55years

Answer» Correct Answer - Option 3 : 40years

Calculation:

Let present age of mother is x, then present age of his son= 2x/5

After 8 year,

Son's age = (2x/5 + 8)years

Mother's age = (x + 8)years

According to the question:

Son's age is1/2 time of mother's

2x/5 + 8 = 1/2(x + 8)

⇒ (2x + 40)/5= x/2 + 4

⇒(2x + 40)/5= (x + 8)/2

⇒ 4x + 80 = 5x + 40

⇒ x = 40years

∴ Present ageof mother is 40 years.

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