Question
Download Solution PDFThe ratio of the ages of A and B 8 years ago was 2 : 3. Four years ago, the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe ratio of the ages of A and B, 8 years ago = 2x : 3x
According to the question
(2x + 4)/(3x + 4) = 5/7
⇒ 7 (2x + 4) = 5 (3x + 4)
⇒ 14x + 28 = 15x + 20
⇒ 15x – 14x = 28 – 20
⇒ x = 8
8 years ago-age of A = 2 × 8 = 16
8 years after-age of A = 16 + 8 + 8 = 32
8 years ago-age of B = 3 × 8 = 24
8 years after-age of B = 24 + 8 + 8 = 40
Ratio of ages of A to B after 8 years = 32 : 40 = 4 : 5
Short Trick:
Ratio of ages of A to B, 8 years ago = 2 : 3 or 4 : 6.
1 unit = 4 years
3 unit = 12 years
∴ Ratio of ages A to B, 8 years after = 4 : 5
Last updated on Jul 22, 2025
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