SOLUTION: An integer is 2 less than twice another. If the product of the two integers is 220, then what are the integers?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: An integer is 2 less than twice another. If the product of the two integers is 220, then what are the integers?      Log On


   



Question 1113666: An integer is 2 less than twice another. If the product of the two integers is 220, then what are the integers?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be one of the numbers; then the problem tells us that the other number is 2x-2.

The product of the two numbers is 220:
x%282x-2%29+=+220
2x%5E2-2x+=+220
2x%5E2-2x-220+=+0
x%5E2-x-110+=+0

That's a quadratic equation that is easily solved by factoring.

You should find that there are two solutions to the problem -- one with two positive numbers and another with two negative numbers.

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
x and 2x-2;

x%282x-2%29=220
-
x%28x-1%29=110
If you look at some factorizations of 110, you may solve the question without any algebra.

Either -11 and -10
Or
10 and 11