The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers? PLEASE DO NOT GIVE ME ANSWERS JUST EXPLAIN HOW TO SOLVE.
Saying "The sum of two numbers is 27" means x+y = 27. The term "sum" is the result of adding. So the first equation is x+y = 27
The second equation is y = x+3 where we assume that y is the larger number of the pair.
So your system of equations will be x+y = 27 y = x+3
Use substitution to solve this system. x+y = 27 x+( y ) = 27 x + (x+3) = 27 ... notice how y has been replaced with x+3 (since y = x+3) x+x+3 = 27 Solve for x and then use this to find y. I'll let you finish up.
