SOLUTION: Shane added a number to one-sixth. Chris subtracted the same number from one and two-thirds. They each got the same answer. What is the number? I cannot figure this out. I have

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Question 787247: Shane added a number to one-sixth. Chris subtracted the same number from one and two-thirds. They each got the same answer. What is the number?
I cannot figure this out. I have tried for 2 days. My Dad has tried to help me. We both don't get it
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"Shane added a number to one-sixth" translates to

"Chris subtracted the same number from one and two-thirds" translates to and because . So this means that is the same as

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"They each got the same answer." means that the two expressions are equal, so this means



Add x to both sides.

Subtract 1/6 from both sides.

Multiply 5/3 by 2/2.

Combine like terms.

Reduce

Multiply both sides by 1/2 to isolate x





Therefore, the number is
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