Let x=smaller number
Then x+5=larger number
Now we are told the following:
1/5(x+x+5)=x-5 multiply each side by 5
x+x+5=5x-25 subtract 5x and also 5 from both sides
x+x+5-5-5x=5x-5x-25-5 collect like terms
-3x=-30 divide both sides by -3
x=10 smaller number
x+5=10+5=15 larger number
CK
1/5(10+15)=10-5
1/5(25)=10-5
5=5
