The sum of two numbers is 27. One number is seven less than the other. Find the numbers

17 and 10

Step-by-step explanation:

Write the problem as an equation.

a+b=27

a=b-7

Where a and b are the two numbers you are trying to find. You could use any variables. Then solve.

b + (b-7) = 27 Sub (b-7) for a

2b-7=27 Group like terms

2b=34 Add 7 to both sides

b=17 Divide both sides by 2.

Because b=17, a must be 10.