There are two answers in this question. please help!!!
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1 Answer

Let a and b be the numbers where a is bigger than b. a-b=44½.

Also, a-7b=7³⁄₁₄. We can write a=b+44½ and substitute in the second equation:

b+44½-7b=7³⁄₁₄. From this 6b=44½-7³⁄₁₄=37+½-³⁄₁₄=37+⁷⁄₁₄-³⁄₁₄=37²⁄₇.

Express the mixed number as an improper fraction: 261/7.

So 6b=261/7, 2b=87/7, b=87/14=6³⁄₁₄. To find a we need to add 44½ to give us 50+³⁄₁₄+⁷⁄₁₄=50⁵⁄₇.

The two numbers are 50⁵⁄₇ and 6³⁄₁₄.

 

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