Question 468294
...and the question is???
What are the two numbers!
Let a, and b be the two numbers, then:
1) {{{a*b = 126}}} "The product of 2 numbers is 126." 
2) {{{a-b = 5}}} "...difference between those 2 numbers is 5."
Rewrite equation 2) as:
2a) {{{a = b+5}}} and substitute for a in equation 1).
1a) {{{(b+5)*b = 126}}} Simplify.
1b) {{{b^2+5b = 126}}} Subtract 126 from both sides.
1c) {{{b^2+5b-126 = 0}}} Factor the left side.
1d) {{{(b-9)(b+14) = 0}}} Apply the "zero product" rule.
1e) {{{b-9 = 0}}} or {{{b+14 = 0}}} so...
{{{b = 9}}} or  {{{b = -14}}}
If {{{b = 9}}} and {{{a = b+5}}}, then {{{a = 14}}}
The 2 numbers are:
9 and 14