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Let present age of father and son be 15m and 7m years respectively, and mother and daughter be 6n and 2n years respectively. Now, 15m - 6n = 3 ------------ (I) 7m - 2n = 4 ------------- (II) Now solving I - 3 × II: 15m - 6n - 3(7m - 2n) = 3 - 12 15m - 6n - 21m + 6n = -9 -6m = -9 m = 1.5 Put in equation II: 7 × 1.5 - 2n = 4 10.5 - 2n = 4 2n = 6.5 n = 3.25 Required age = 6 × 3.25 + 10 = 29.5 years
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