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If the ratio of the ages of two persons is 3:5 and their ages differ by 18 years, what is the age of the younger person?a) 12 yearsb) 15 yearsc) 18 yearsd) 21 years

Question

If the ratio of the ages of two persons is 3:5 and their ages differ by 18 years, what is the age of the younger person?a) 12 yearsb) 15 yearsc) 18 yearsd) 21 years

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Solution

Let's denote the age of the younger person as 3x and the age of the older person as 5x. According to the problem, the difference between their ages is 18 years. So, we can write the equation:

5x - 3x = 18 2x = 18 x = 18 / 2 x = 9

So, the age of the younger person is 3x = 3*9 = 27 years. However, this is not an option in the given choices. It seems there might be a mistake in the problem or the options.

This problem has been solved

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