if a certain number is added both to the numerator and to the denominator of 9/17, the new fraction reduce to 5/7.find the number?
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Answer:11
Step-by-step explanation:
Lets suppose that the number is x. So,
9+x/17+x=5/7
Cross multiply. Then,
7x+63=5x+85
7x-5x=85-63
2x=22
x=22/2
x=11.
Check=9+11/17+11
=20/28
Divide by 2.
=10/14
=5/7
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