Question

if 3 yrs are added to 3/4 age of a young man he will 2 years younger than his actual age.what is his actual age​

Answer 1

Answer:

His actual age = x

According to the question,

$3 + \frac{3}{4} \times x = x - 2$

$3 + \frac{3}{4} \times \frac{x}{1} = x - 2$

$3 + \frac{3x}{4} = x - 2$

$3 + \frac{3x}{4} + 2 = x$

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

$\frac{20 + 3x}{4} = x$

$20 + 3x = x \times 4$

$20 = 4x - 3x$

$1x = 20$

$x = 20$

therefore, man's age is 20.

Verification

$3 + \frac{3}{4} \times 20 = 20 - 2$

$3 + \frac{3}{4} \times \frac{20}{1} = 18$

$15 + 3 = 18$

$18 = 18$

Hence, verified.