SOLUTION: what number must be added to each term of 5/8 to yield 3/4 what number must be subtracted to each term of 9/17 to yield 1/3

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Question 473093: what number must be added to each term of 5/8 to yield 3/4
what number must be subtracted to each term of 9/17 to yield 1/3
Found 2 solutions by Tatiana_Stebko, stanbon:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
1) what number must be added to each term of 5/8 to yield 3/4
Let x is a number
%285%2Bx%29%2F%288%2Bx%29=3%2F4
4%285%2Bx%29=3%288%2Bx%29
20%2B4x=24%2B3x
4x-3x=24-20
x=4
.
.
2) what number must be subtracted to each term of 9/17 to yield 1/3
Let x is a number
%289-x%29%2F%2817-x%29=1%2F3
3%289-x%29=1%2817-x%29
(((27-3x=17-x}}}
-3x%2Bx=17-27
-2x=-10
x=%28-10%29%2F%28-2%29
x=5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what number must be added to each term of 5/8 to yield 3/4
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Solve:
(5+x)/(8+x) = 3/4
Cross-multiply to get:
20 + 4x = 24 + 3x
x = 4
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what number must be subtracted to each term of 9/17 to yield 1/3
(9-x)/(17-x) = 1/3
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27-3x = 17-x
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2x = 10
x = 5
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cheers,
Stan H.
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