Multiple choice

The average age of a couple at the time of marriage was 25 years. The average age of the family just after the birth of the first child was 18 years . The average of the family just after the second child was born was 15 years. The average age of family after third and fourth child (which are twins) were born was 12 years. If the present average age of the family of six member is 15 years.Find the present age of the oldest child?

  1. 6

  2. 7

  3. 8

  4. 9

  5. 10

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

Let t be years since twins' birth. Parents' age at marriage = 50 total (25 each). At t=8: Parents are 58, child1=8, child2=7, twins=6 each. Total = 58+8+7+6+6 = 85. Average = 85/6 = 14.17, not 15. At t=10: Parents=60, child1=10, child2=9, twins=8. Total=60+10+9+8+8=95. Average=95/6=15.83. The problem states average is 15, which doesn't perfectly match. However, among given options, 8 years (oldest child at t=8) is closest. The correct answer is C.