Question
The ratio of the age of X after 4 years to the age of Y
after 6 years is 3:2. The sum of the ages of Y and Z after 10 years is 72 years. The age of Z before 4 years was half of what it will be after 16 years. Find the present age of X.Solution
ATQ, Z – 4 = 1/2 × (Z + 16) 2Z – 8 = Z + 16 Z = 24 Present age of Z = 24 years Y + 10 + Z + 10 = 72 Y + 10 + 24 + 10 = 72 Y = 72 – 44 = 28 years X + 4 = (3/2) × (28 + 6) X + 4 = (3/2) × 34 X = 51 – 4 = 47 years
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