Question

The denominator of a fraction exceeds its numerator by 3. if 3 is added to both numerator and denominator the difference between the new and the original fraction is 9/88 find the original fraction.

Answer 1

Answer:

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Step-by-step explanation:

Let the denominator be ‘(X+3)’, so the numerator will be ‘X’. 88(9) = 9(X2 + 9X + 18) X2 + 9X – 70 = 0 –––––– (i) On applying Sreedhracharya formula X = –14 or 5. The numerator is X = 5 and denominator (X+3) will be 8 and the fraction will be 5/8, as taking (–14) will form a fraction i.e., 14/11 (not satisfying the conditions) Read more on Sarthaks.com - https://www.sarthaks.com/940084/the-denominator-fraction-exceeds-its-numerator-if-added-both-numerator-and-denominator