The ages of two people has the ratio of 6:5 and by adding ages we get 44,…
2026
The ages of two people has the ratio of 6:5 and by adding ages we get 44, after how many years the ratio would be 8:7.
- A.
5
- B.
6
- C.
8
- D.
9
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Show answer & explanation
Correct answer: C
Solution:
Let the ages be 6x and 5x.
Using the sum: 6x + 5x = 44, so 11x = 44 and x = 4.
Present ages are 24 and 20.
Let y be the number of years after which the ratio becomes 8:7. Set up the equation:
(24 + y)/(20 + y) = 8/7
Cross-multiply and solve: 7(24 + y) = 8(20 + y) ⇒ 168 + 7y = 160 + 8y ⇒ y = 8.
Therefore, after 8 years the ratio will be 8:7.