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15 years later, A will be twice as old as B but five years ago A was 4 times as old as B. Find the difference of their present ages ?
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- 15 years
- 45 years
- 30 years
- 25 years
Correct Option: C
Let A's age = x years and B's age = y years
As per the first condition,
∴ (x + 15) = 2(y + 15)
⇒ x - 2 y = 15 ....(i)
As the per second condition,
∴ (x - 5) = 4(y - 5)
⇒ x - 4 y = -15 ....(ii)
Solving (i) and (ii) one get's, x = 45, y = 15
∴ A's age = 45 years
B's age = 15 years
∴ Difference of their ages = 45 - 15 = 30 years
