Question
Download Solution PDFThe ratio of the ages of two friends is 4 : 3 which will become 6 : 5 after 4 years. What will be the sum of their ages (in years) after 22 years from now?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of the ages of two friends is 4:3 which will become 6:5 after 4 years.
Formula used:
Let the current ages be 4x and 3x.
Calculation:
After 4 years, (4x + 4)/(3x + 4) = 6/5
⇒ 5(4x + 4) = 6(3x + 4)
⇒ 20x + 20 = 18x + 24
⇒ x = 2
Current ages are 4x = 4×2 = 8 years and 3x = 3×2 = 6 years.
Sum of their ages after 22 years = (8 + 22) + (6 + 22)
⇒ 30 + 28 = 58
∴ The correct answer is option (4).
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