The ages of two sisters A and B are in the ratio of 7:6. After 12 years, the ratio of their ages will…
Let the ages be \(7x\) and \(6x\). Then \(\frac{7x+12}{6x+12}=\frac{9}{8}\) gives \(56x+96=54x+108\), so \(x=6\). The ages are 42 and 36 and the difference is 6 years.
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The ages of two sisters A and B are in the ratio of 7:6. After 12 years, the ratio of their ages will be 9:8. Find the difference between their ages.
Answer and explanation
Correct answer C
Let the ages be and . Then gives , so . The ages are 42 and 36 and the difference is 6 years.
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