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The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is _________.

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Answered by nanithegrate
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The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator decreased by 6, the new number becomes 2. Find the original number. 

December 20, 2019Sanyog Sravani

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Let the fraction be qp

So q=p+7

q−6p+17=2

⇒p+7−6p+17=2

⇒p+1p+17=2

⇒p+17=2p+2

⇒p=15

q=15+7=22

So qp=2215.

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