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Question

If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Answer

69 years. Step-by-step explanation: Let's start by adding Alex's current age of 14, and Ben's current age of 17, which gives us a total of 31 years. Since both Alex and Ben will age one year every year, the sum of their ages will increase by 2 years each year. We want to find out how many years it will take for the sum of their ages to reach 169, which is 138 years more than their current sum. Therefore, we divide 138 by 2 to find out how many sets of 2 years are needed to reach 138. The result is 69 sets. Hence, the sum of their ages in 69 years will be 169.