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10 years ago, average age of A and B was 20 years. Average age of A, B and C is 30 years today. How old C will be after 5 years?
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- 20 years
- 30 years
- 35 years
- 55 years
Correct Option: C
Let the present ages of A, B and C be P years, Q years and R years respectively.
According to question,
Ten years ago, average age of A and B = 20 years.
| = 20 | 2 |
⇒ P – 10 + Q – 10 =40
⇒ P + Q = 60 .....(i)
Average present age of A, B and C = 30 years
| Again, | = 30 | 3 |
⇒ P + Q + R = 30 × 3 = 90 ....(ii)
On solving equations (i) and (ii) , we get
R = 30 years
Hence, the age of C after 5 years = 30 + 5 = 35 years
