A's present age is two-fifth of the age of his mother. After 8 years, his age will be half of the age of his mother. How old is the mother at present?
Answer & explanation
Correct answer: option 1
Let us consider that ,
present Age of A = A years and present Age of mother is M years
A's present age is two-fifth of the age of his mother
A = 2/5 × M ------(1)
After 8 years ,
Age of A = A + 8
Age of Mother = M + 8
According to question,
A + 8 = 1/2× ( M + 8) ----(2)
By using equation (1)
2/5 × M + 8 = 1/2× ( M + 8)
2/5 × M + 8 = 1/2× M + 4
2/5 × M - 1/2× M = 4- 8
( 4 - 5 ) /10× M = - 4
M = 40
So, Age of Mother is 40 years.
The correct answer is Option (1) → 40 years