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what are two whole numbers whose product is 1224 and whose sum is 70Asked by mary
what are two whole numbers whos product is 1,224 and whos sum is 70
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Answered by
jim
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!
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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