elect 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?Options30, 1029, 925, 550, 30
Question
elect 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?Options30, 1029, 925, 550, 30
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:
-
E - Y = 20 (The ages of two persons differ by 20 years)
-
E - 5 = 5 * (Y - 5) (5 years ago, the elder one was 5 times as old as the younger one)
We can solve these two equations to find the values of E and Y.
Let's start with the second equation:
E - 5 = 5Y - 25
=> E = 5Y - 20
Now, we can substitute E from the first equation into this:
5Y - 20 = Y + 20
=> 4Y = 40
=> Y = 10
Substitute Y = 10 into the first equation:
E - 10 = 20
=> E = 30
So, the present ages of the elder and younger person are 30 and 10 years respectively. Therefore, the correct answer is 30, 10.
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