Question
The ratio of the present ages of βAβ and βBβ is
7:6, respectively. Two years hence from now, the age of βBβ will be 20 years. If the average of present ages of βAβ, βBβ and βCβ is 21 years, then find the present age of βCβ.Solution
Let the present ages of βAβ and βBβ be 7x years and 6x years, respectively Therefore, 6x + 2 = 20 Or, 6x = 18 Or, x = 3 Sum of present ages of βAβ and βBβ = 7x + 6x = 39 years Sum of present ages of βAβ, 'Bβ and βCβ = 21 Γ 3 = 63 years Therefore, present age of βCβ = 63 β 39 = 24 years
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