What is the larger number if sum of the number is 78 and their product is 1352

26 and 52

26+52=78

26*52=1352

Explanation:

         \ ab /

        a \ / b

        /a+b\

Pretend the slashes form an x.

We know ab=1352, and a+b=78.

First, we can find the factors of 1352. The factors are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, and 1352.

Or:

1*1352

2*676

4*338

8*169

13*104

26*52

52*26

104*13

169*8

338*4

676*2

1352*1

Next, find two factors that equal 78.

1+1352=1353

2+676=678

4+338=342

8+169=177

13+104=117

26+52=78

26+52=78, and 26*52=1352

So, a=26, and b=52. Since both numbers are positive, order doesn't matter.

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explanation:

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