Question

The denominator of a rational no. is 3 more than its numerator. if the numerator is increased by 7 and the denominator decrease by 2, we obtain the number 2. Determine the rational number

Answer 1

Hi friend
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your answer
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Let the numerator be x, then the denominator will be x+ 3 .

Then,
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According to the question,
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(x + 7)/(x + 3 - 2) = 2

=> (x + 7)/(x + 1) = 2

=> x + 7 = 2(x + 1)

=> x + 7 = 2x + 2

=> x - 2x = 2 - 7

=> - x = - 5

=> x = 5

So,
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Numerator = x = 5

Denominator = x + 3 = 8

Therefore,
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The fraction will be = 5/8

HOPE IT HELPS