Question 1145843
<br>
Tutor @MathTherapy is exactly right about how to solve this... although one number he shows in his explanation is a typo.<br>
If you try to solve this problem using formal algebra, you end up with a quadratic equation; to solve that equation by factoring, you need to find two numbers whose product is 105 and whose difference is 8.<br>
But that's what the original problem requires you to do!<br>
So there is no point in using formal algebra -- unless this is an assignment where an algebraic solution is required.<br>
Pairs of (whole) numbers whose product is 105:
105*1
35*3
21*5
15*7<br>
Find the one for which the difference is 8....