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To find the sum of 13 and a number where their product equals 60, we must first determine the other number. We can do this by finding the factors of 60, which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The pair that works in this case is 5 and 12. Therefore, the sum of 13 and 12 is 25.
There are four prime factors to 60 : 2, 2, 3, 5. All those multiplied together will give 60, as will any combinations of all those numbers. 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10
However none of those pairings can be added or subtracted so as to give 13
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
10 + 6 = 16
So I believe that if the number are to be used to make 13 in a sum and 60 in a multiplication we need to introduce a 1 into the factors.
Now we get
1 + 2 + 2 + 3 + 5 = 13
1 x 2 x 2 x 3 x 5 = 60 Alternately, 6 + 5 + 2 = 13 and 6 x 5 x 2 = 60
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