Question
Download Solution PDFThe present age of A is twice the age of B. 15 years ago, the age of A was thrice the age of B. Then 25 years ago, the age of A was:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The present age of A is twice the age of B.
15 years ago, the age of A was thrice the age of B.
Formula used:
Let the present age of B = x years.
Then, the present age of A = 2x years.
15 years ago: A's age = (2x - 15), B's age = (x - 15).
Calculations:
Given, 15 years ago A's age was thrice B's age:
2x - 15 = 3(x - 15)
⇒ 2x - 3x = -45 + 15
⇒ x = 30
Present age of B = x = 30 years.
Present age of A = 2x = 60 years.
25 years ago:
A's age = 60 - 25 = 35 years.
B's age = 30 - 25 = 5 years.
⇒ 25 years ago, A's age was 35 = 7 × 5 (7 times the age of B).
∴ The correct answer is option (1).
Last updated on Sep 27, 2023
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