Question

The sum of two numbers is 54. The large number is 10 more than the smaller number. What are the numbers

Answer 1

x+y=54
y=x+10
Substitute y
x+(x+10)=54
distribute "+" to remove parentheses
x+x+10=24
2x+10=24
-10 -10
________
2x=14
divide 2 on both sides
2x/2=14/2
x=7 plug in x
y=x+10
y=7+10
y=17;x=7

Answer 2

The numbers are 24 and 30
24+30=54