The sum of two numbers is 42. The larger number is 22 more than the smaller number. What are the numbers?

Answer 1

This equation can be modeled like this, x is our smallest number and we know that adding x + (x +22) = 42

following the steps we first combine like terms so 2x +22 = 42. We then subtract 22 on both sides so we get

2x +22-22= (42-22), simplifying we get 2x = 20 and isolating x by dividing both sides by 2 2x/2 = 20/2, again simplifying this we have finally x = 10. Checking we plug in 10 for x so that 10 + (10 +22) which is indeed 42.

I hope this helps!