The sum of two numbers is 37

and the difference is 13

. What are the numbers?

25, 12

Step-by-step explanation:

let x represent one number and y represent the other number

x+y=37 (sum is addition)

x-y=13 (difference is subtraction)

Im solving using the substitution method

x-y=13 add y to both sides to get x by itself

x=13+y

13+y+y=37 substitute x for the solution above in the other equation and simplify

2y=24

y=12

plug in y into one of the equations

x+12=37 subtract 12 from both sides

x=25