Question
A person 'P' is 4 years younger than 'Q' and also 10
years less than twice the age of 'R'. Given that the ages of 'Q' and 'R' are in the ratio 5:3, determine the current age of 'P'.Solution
ATQ,
Let R = 3x Then Q = 5x (since Q:R = 5:3) P = Q - 4 = 5x - 4 P = 2R - 10 = 2(3x) - 10 = 6x - 10 Equating both: 5x - 4 = 6x - 10 ⇒ -x = -6 ⇒ x = 6 Now, P = 5x - 4 = 5(6) - 4 = 30 - 4 = 26
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