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

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Question 190156: Find two numbers whose difference is 10 and +1%2F6+ of whose sum is 11.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us assigned the two numbers be x & y.

1st condition:

The difference is 10: x-y=10

2nd condition:

One-sixth of sum is 11: %281%2F6%29%28x%2By%29=11

In 1st condition we get, x=10%2By, subst. in 2nd condition:

%281%2F6%29%28highlight%2810%2By%29%2By%29=11
%281%2F6%29%2810%2B2y%29=11
10%2F6%2B2y%2F6=11 ---> cross%2810%295%2Fcross%286%293%2Bcross%282%291y%2Fcross%286%293=11
%281%2F3%29y=11-5%2F3=%2833-5%29%2F3=28%2F3

red%28y=28%29 ---> One number

Then, x=10%2B28=red%2838%29 ---> The other number


Check via 2nd condition:
%281%2F6%29%2838%2B28%29=11
%281%2F6%29%2866%29=11
11=11

Thank you,
Jojo