elect the correct answerAge of the father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If the difference of the ages of the two sons is 15 years, the age (in years) of the father is?Options60555070
Question
elect the correct answerAge of the father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If the difference of the ages of the two sons is 15 years, the age (in years) of the father is?Options60555070
Solution
Let's denote the current age of the elder son as E, the current age of the father as F, and the current age of the younger son as Y.
From the problem, we know that:
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F = 2E (since the father's age is twice that of the elder son)
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F + 10 = 3(Y + 10) (in ten years, the father's age will be three times that of the younger son)
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E - Y = 15 (the difference in age between the two sons is 15 years)
We can substitute F from the first equation into the second to get:
2E + 10 = 3(Y + 10)
Solving for Y, we get:
Y = 2E/3 - 10/3
Substituting Y into the third equation, we get:
E - (2E/3 - 10/3) = 15
Solving for E, we get:
E = 30
Substituting E into the first equation, we get:
F = 2 * 30 = 60
So, the father is 60 years old.
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