Question
Download Solution PDFThe ratio of the present ages (in years) of two persons A and B is 5: 4. After six years, the ratio of their ages will be 17 ∶ 14. Then, the ratio of their ages after 12 years will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of the present ages of A and B is 5: 4.
After six years, the ratio of their ages will be 17 ∶ 14.
Formula Used:
If the present ages of A and B are 5x and 4x respectively, then:
After six years, age of A = 5x + 6 and age of B = 4x + 6
Given that (5x + 6) / (4x + 6) = 17 / 14
Calculation:
⇒ (5x + 6) / (4x + 6) = 17 / 14
⇒ 14(5x + 6) = 17(4x + 6)
⇒ 70x + 84 = 68x + 102
⇒ 70x - 68x = 102 - 84
⇒ 2x = 18
⇒ x = 9
Therefore, the present ages are:
A = 5x = 5 × 9 = 45 years
B = 4x = 4 × 9 = 36 years
After 12 years, the ages will be:
A = 45 + 12 = 57 years
B = 36 + 12 = 48 years
Therefore, the ratio of their ages after 12 years will be:
⇒ 57 / 48 = 19 / 16
The ratio of their ages after 12 years will be 19 ∶ 16.
Last updated on May 29, 2025
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