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# The difference between the ages of two friends is 37 years The sum of their ages is 55 years Find the age of the older friend?

Updated: 11/11/2022

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14y ago

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Q: The difference between the ages of two friends is 37 years The sum of their ages is 55 years Find the age of the older friend?
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### What is the difference between the ages of two friends is 37 years. The sum of their ages is 55 years. What is the age of the older friend?

Let the symbol "OF" denote the age of the older friend. The age of the younger friend is then OF - 37. But now the sum of their ages is 55. That is OF + OF -37 = 55 (2 x OF) = 55 +37 (2 x OF) = 92 OF = 46. The older friend is 46 years old and the younger friend is (49 - 37) = 9 years old. To verify the answer subtract the younger friend's age from the older friend's age, that is 46 - 9 which is 37 and satisfies the first condition in the problem. Adding the two ages gives 46 + 9 = 55 and satisfies the second condition in the problem.

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