Question
Download Solution PDFThe ratio of the ages of A, B and C, 5 years ago, was 4 : 5 : 7. The sum of their present ages is 135 years. What will be the sum of the ages (in years) of B and C, 3 years from now?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5 years ago, ratio of ages of A, B and C = 4 : 5 : 7.
Sum of their present ages = 135 years.
Concept used:
Total = Average × Number of entities
Calculation:
Let the common ratio be Q.
So, 5 years ago, the ages of A, B, and C are 4Q, 5Q, and 7Q respectively.
Now, their present ages are (4Q + 5), (5Q + 5), and (7Q + 5) respectively.
According to the question,
(4Q + 5) + (5Q + 5) + (7Q + 5) = 135
⇒ 16Q + 15 = 135
⇒ 16Q = 135 - 15
⇒ 16Q = 120
⇒ Q = 7.5
The present age of B = (5 × 7.5 + 5) = 42.5 years
The present age of C = (7 × 7.5 + 5) = 57.5 years
Now, 3 years from now, the sum of the ages of B and C
⇒ (42.5 + 3) + (57.5 + 3)
⇒ 106 years
∴ After 3 years from now, the sum of the ages of B and C will be 106 years.
Last updated on Jun 12, 2025
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