Question
Present age of 'X' is 60% more than that of 'Y'. Present
age of 'Z', who is 5 years older than 'Y', is 25 years. After how many years from now, ratio of ages of 'X' to 'Y' will become 7:5.Solution
ATQ, Present age of 'Y' = 25 – 5 = 20 years
Present age of 'X' = 1.6 Ă— 20 = 32 years
Let the required time be 'T' years.
So, (32 + T) : (20 + T) = 7 : 5
Or, 5 Ă— (32 + T) = 7 Ă— (20 + T)
Or, 160 + 5T = 140 + 7T
Or, 2T = 20
Or, 'T' = 10 years
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