Question
The ratio of the present ages of βAβ and βBβ is
8:3. If the present age of βBβ had been 10 years more, then his present age would have been 50% less than that of βAβ. Find the ratio of the ages of βAβ and βBβ, 10 years hence from now.Solution
Let the present age of βAβ and βBβ be 8x and 3x, respectively. According to the question, 0.5 Γ 8x = 3x + 10 Or, 4x β 3x = 10 Or, x = 10 Therefore,
Age of βAβ, 10 years hence = 8x + 10 = 80 + 10 = 90 years
Age of βBβ, 10 years hence = 3x + 10 = 30 + 10 = 40 years Required ratio = 90:40 = 9:4
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