Multiple choice

When Ravi was born: His father was 30 years older than his brother. His mother was 26 years older than his sister. His brother is 4 years older than his sister. After 6 years, the average age of the family shall be 22 years. What was the age of his mother when Ravi was born?

  1. 40 years

  2. 30 years

  3. 35 years

  4. 46 years

  5. 48 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R, B, S be ages at birth. B = S + 4. Father = B + 30 = S + 34. Mother = S + 26. At year 6, ages are R=6, B=S+10, S=S+6, F=S+40, M=S+32. Average = (6 + S+10 + S+6 + S+40 + S+32)/5 = 22. 4S + 94 = 110, 4S = 16, S = 4. Mother's age at birth = S + 26 = 30.