Question
Present ages of P and Q are in ratio 5:4, respectively.
Present ages of R and P are in ratio 3:4, respectively. If the difference between ages of Q and R is 3 years, then which of the following statement/s is true? I. Present age of P is 60 years. II. Difference between ages of P and Q is 12 years. III. R's present age is divisible by 15.Solution
ATQ, Let the present age of P be '20x' years So, present age of Q = 20x X (4/5) = '16x' years And present age of R = 20x X (3/4) = '15x' years ATQ; 16x - 15x = 3 So, 'x' = 3 So, present age of P = 20 X 3 = 60 years So, statement I is true. Now, present age of P = 16 X 3 = 48 years Difference between ages of P and Q = 60 - 48 = 12 years So, statement II is true. And R's present age = 15 X 3 = 45 years Since, 45 is divisible by 15, statement III is true.
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