Question

Prabhat's age is one fourth of his father's age. Five years from now Prabhat's age will be
one third of his father's age. Find their present ages.​

Answer 1

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Answer 2

Answer:

Prabhat's age = 20 years

Prabhat father's age = 80 years

Step-by-step explanation:

Let prabhat's age be = x × 1/4

Let prabhat's father age be = x

So prabhat's age after 5 years = x/4 + 5

And prabhat's father's age = 1/3 (x + 5)

A/Q

$\frac{x}{4} + 5 = \frac{1}{3} (x - 5)$

$\frac{x}{4} + 5 = \frac{x}{3} - \frac{5}{3}$

$\frac{x}{4} - \frac{x}{3} = \frac{ - 5}{3} - 5$

= 3x-4x/12 = - 5-15/3

= x/12 = 20/3

= 3x = 240

= x = 240/3 = 80

Prabhat's age = 20 years

Prabhat's father age = 80 years