P says to Q “I am four times as old as you were when I was as old as you are”. The difference between their ages is 15 years. Find the sum of their ages?

P says to Q “I am four times as old as you were when I was as old as you are”. P = 4[Q- (P-Q)] P = 4Q – 4P + 4Q 5P = 8Q ………………….(i) P – Q = 15 …………………(ii) By solving (i) and (ii), we get Q = 25 & P = 40 Therefore, sum of their ages = 40 +25 = 65 years

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