Question
The sum of three numbers in arithmetic progression is 39
and the product of the first and third numbers is 120. What is the middle number?Solution
Let the three numbers be 13 - d, 13, 13 + d Their sum = 39 So, middle number = 39/3 = 13 Also, (13 - d)(13 + d) = 120 169 - d² = 120 d² = 49 d = 7 Numbers are 6, 13, 20 Middle number = 13
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