Question

Anil is at present one-fourth the age of his father. After 16 years he will be one-half of the age of his father. Find the present age of anil's father.

Answer 1

Answer: Anil's age=8 years and his father's age=32 years

Step-by-step explanation:

Answer 2

Answer:

Given :

at present,

Anil = 1/4 the age of father

after 16 years,

Anil = 1/2 the age of father

Explanation:

Let the age of Father be x

so according to the question,

at present,

Anil = 1/4 of x. --------(1)

after 16 years

Anil + 16= 1/2 of (x+16).

$anil = \frac{1}{2} \times (x + 16) - 16 \\ \frac{x}{2} + 8 - 16 = \frac{x}{2} - 8$

this is eqn (2)

we have to find out the value of x

equating eqn (1) and (2),

$\frac{x}{4} = \frac{x}{2} - 8 \\ \frac{x}{4} = \frac{x - 16}{2}$

now by cross multiplication,

$2x = 4(x - 16) \\2x = 4x - 64 \\ 2x = 64 \\ x = 32$

the age of Anil's father is 32 years and accordingly, the age of his son will be 8 years.