Call the two numbers "
" and "
". From the problem statement we know that "the sum of the two numbers is 49". So let's write that:
We also know that "the smaller number is 19 less that the larger number". Let's say that "
" is the larger number. We can then write:
We now have, 2 equations and 2 unknown numbers. We can solve by substitution.
We already have a substitution for "
" from our second equation, so let's drop that into the other one like so:
There's our first answer.
We can then use our equation for "
":
There's our second answer.
So:
There's our answer.
Wwe can use our first equation to check our work:
CHECKS