SOLUTION: Find two numbers whose difference is 10 and 1/6 of whose sum is 11.

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Question 146920: Find two numbers whose difference is 10 and 1/6 of whose sum is 11.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the numbers A and B.
Difference is 10.
A-B=10
1/6 of the sum is 11.
%281%2F6%29%28A%2BB%29=11
Now we have two equations.
1. A-B=10
2. %281%2F6%29%28A%2BB%29=11
You can make a slight change in eq. 2 that will help to solve.
Multiply both sides by 6.
2. A%2BB=66
Now, you can add the two equations together to get one equation in A.
2A-B%2BB=76
2A=76
A=38
From 1,
A-B=10
38-B=10
B=28
Make sure to always check your answers with your original equations.
1. A-B=10
38-28=10
10=10
True
2. A%2BB=11
38%2B28=66
66=66
True
Your answers led to true statements.
They are good answers.