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 (in years) of two persons A and B is 5 ∶ 4.
After six years, the ratio of their ages will be 17 ∶ 14.
Calculation:
Let the present age of A and B be 5x and 4x
According to the question,
⇒ 70x + 84 = 68x + 102
⇒ 2x = 18
⇒ x = 9
So, the present age of A and B = 45, 36
Age after 12 years = 57, 48
Ratio of ages of A and B = 57 : 48
⇒ 19 : 16
∴ The ratio of their ages after 12 years will be 19 : 16.
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