SOLUTION: The product of two numbers is 2400. one number is 20 more than the other. What are the two numbers? i found the answer but not using algebra expressions, so can you explain how to

Algebra ->  Equations -> SOLUTION: The product of two numbers is 2400. one number is 20 more than the other. What are the two numbers? i found the answer but not using algebra expressions, so can you explain how to      Log On


   

Question 830490: The product of two numbers is 2400. one number is 20 more than the other. What are the two numbers? i found the answer but not using algebra expressions, so can you explain how to use with this question.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is probably EASIER with algebra than without it.

Two numbers, m and n.
mn=2400;
and
n=20+m.

What could be easier or simpler than those two small equations?
You simply have this system of simultaneous equations:
----------
mn=2400
----------
n=m%2B20
---------

Solve for m and n. The simplest thing to do is use the formula for n and substitute into the product equation.
mn=2400
m%28m%2B20%29=2400
m%5E2%2B20m=2400
m%5E2%2B20m-2400=0 -------which is either factorable OR can be solved (for m) using the general solution to the quadratic formula. Once found, use the known m to compute n.