The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest).
- 18 years
- 14 years
- 20 years
- 16 years
Explanation
Given:
- Present average age of 5 members = 26 years
→ Total present age = 26 × 5 = 130 years
- Youngest member's present age = 10 years
→ So, at the time of their birth, 10 years ago:
All other 4 members were each 10 years younger
→ Total age 10 years ago = 130 – (10 + 10×4) = 130 – 50 = 80 years
→ Number of members at that time = 4 (youngest not born yet)
Average age at that time = 80 ÷ 4 = 20 years
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