SOLUTION: divide 27 into two parts such that their product is 180

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Question 829771: divide 27 into two parts such that their product is 180
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Try the pairs of factors of 180.
Find a pair whose sum is 27.
1*180 NG
2*90 NG
etc

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Factors of come in pair whose product is .
We can try small numbers (1, 2, 3, 4, 5, 6, 7, ...} to see if they divide evenly. Whenever one does, that small number is the small factor in a pair, and the quotient is the paired factor.








That is the last pair, because does not divide evely by 13 or 14, ansd 15 is the larger factor in a pair already listed.
and ,
so and are the answers we were looking for.

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