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what are two whole numbers whos product is 1,224 and whos sum is 70

  • math -

    You can do this with an equation.

    Let one of the numbers be x. Then the other is (70-x).

    And we know that x(70-x) = 1224

    So -x^2 + 70x = 1224

    and solve the quadratic from there.

    Another way is to list the prime factors of 1224, and guess your way through. Hint: 17 is a prime factor, which means one of the numbers would have to be 17, 34, 51 or 68, and 68 doesn't look awfully likely!

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