Question

When Ranjeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ranjeev’s brother is 6 years older than Ranjeev and his mother is 3 years younger than his father, how old was Ranjeev’s sister when he was born?

• A. 15 years
• B. 14 years
• C. 7 years
• D. 10 years
• E. 8 years

Answer 1

The correct option is D

10 years

Present age of Ranjeev = x years
Present age of Ranjeev’s brother = (x + 6) years
Present age of Ranjeev’s father = (x + 6 + 32) years = (x + 38) years
So, Present age of Ranjeev’s mother = (x + 38 - 3) years = (x + 35) years
$\therefore$ Present age of Ranjeev’s sister = (x + 35 - 25) years = (x + 10) years

Age of Ranjeev’s sister when he was born = (x + 10 - x) = 10 years.