Posted by mary on Monday, October 26, 2009 at 7:40pm.
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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