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3 April, 16:35

List all the pairs of integers with a product of 36. then find the pair whose sum is 20

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  1. 3 April, 17:58
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    This is an excellent practice for the solution of quadratic equations.

    1*36=36 = > (1,36)

    2*18=36 = > (2,18)

    3*12=36 = > (3,12)

    4*9=36 = > (4,9)

    6*6=36 = > (6,6)

    9*4=36 = > (9,4)

    12*3=36 = > (12,3)

    18*2=36 = > (18,2)

    36*1=36 = > (36,1)

    We can see that the sum decreases until the two factors are close (or equal) and then increases again.

    The pair of integers with a sum of 20 is therefore (2,18) or (18,2).
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