Question

Aman's age is three times his son's age. Ten years ago his age was five times his son's age. Find their present ages.

• A. Aman's age: $90$ years; Aman's sons age: $30$ years
• B. Aman's age: $45$ years; Aman's sons age: $15$ years
• C. Aman's age: $60$ years; Aman's sons age: $20$ years
• D. Aman's age: $75$ years; Aman's sons age: $25$ years

Answer 1

The correct option is C Aman's age: $60$ years; Aman's sons age: $20$ years

Let Aman's son age $=x$

Aman's age $=3x$

Ten years ago, he was $5$ times the age of his son.

Therefore, $3x-10=5(x-10)$

$3x-10=5x-50$

$2x=40$

$x=20$

Aman's son is $20$ yrs old

Aman is $3x=3\times 20=60$ yrs old.