Select the correct answerThe ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively?Options29, 950, 3030, 1025, 5
Question
Select the correct answerThe ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively?Options29, 950, 3030, 1025, 5
Solution
Let's denote the present age of the elder person as E and the present age of the younger person as Y.
From the problem, we know that:
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E = Y + 20 (since their ages differ by 20 years)
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E - 5 = 5 * (Y - 5) (since 5 years ago, the elder one was 5 times as old as the younger one)
We can substitute E from the first equation into the second equation:
(Y + 20) - 5 = 5 * (Y - 5)
Solving this equation gives us:
Y + 15 = 5Y - 25
30 = 4Y
Y = 30 / 4 = 7.5
Substituting Y = 7.5 into the first equation gives us:
E = 7.5 + 20 = 27.5
However, ages are usually expressed in whole numbers, and none of the options match these results. Therefore, it seems there might be a mistake in the problem or the options provided.
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