Question 112136
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

Hope this helps-----ptaylor