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Question

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


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Solution

Let the numerator be x.

Therefore according to given condition denominator =x+10

According to question If the numerator is increased by 1 and the denominator is decreased by 1

then new numerator =x+1 and new denominator =x+10-1=x+9

Hence, expression for new denominator is x+9


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