Posted by **Cho** on Friday, August 26, 2011 at 11:42pm.

the product of two even consecutive integers is 224. find the integers

- math -
**Martin**, Friday, August 26, 2011 at 11:44pm
14 and 16.

- math -
**Cho**, Friday, August 26, 2011 at 11:47pm
how do u figure that out?

- math -
**Martin**, Friday, August 26, 2011 at 11:53pm
Just try them quickly, there's a more formal method, but it'd be much more complicated for such a simple problem.

They want only even numbers. You can quickly see 10 x 12 = 120 is smaller than 224 and 18 x 20 = 360 is too big.

You're left with 12 x 14, 14 x 16, etc. Turns out 14 x 16 works.

Anyway, here's the formal method :

Let "Y" be an even number.

We want Y x (Y+2)= 224

We get Y^2 +2y -224=0

And the solution for this equation is Y=14. So the answer is Y and Y+2, 14 and 16.

## Answer this Question

## Related Questions

- math - the product of two even consecutive integers is 224. find the integers
- math - the product of two even consecutive integers is 224. find the integers
- Algebra - Find two consecutive even integers that have a sum of 450. 224+226=450...
- Math - When you solve questions like "The sum of 3 consecutive integers is 147. ...
- algebra - Two negative, even consecutive integers have a product of 224. Find ...
- math - The product of two consecutive positive even integers is 48. Find the ...
- Math - The product of two consecutive even positive integers is 120. Find the ...
- Math - Two positive integers are in ratio 1:3. If their sum is added to their ...
- quad. eq. - find 3 consecutive integers such that the product of the second and ...
- math - i dont get this question consecutive integers are integers that differ by...

More Related Questions