The denominator of a rational number is greater than its numerator by 8. If 8 is subtracted from the numerator and 7 is added to its denominator, the new number becomes 124. What is the original number?


Answer:

917

Step by Step Explanation:
  1. Let the numerator be x. According to the question, the denominator will be equal to x+8. The fraction will be xx+8.
  2. The new numerator is x8, and the new denominator is x+8+7=x+15. The new fraction will become:x8x+15.
  3. According to the question, x8x+15=124. On cross multiplication we get: 24(x8)=x+1524x192=x+1523x=207x=9
  4. Hence the original fraction will be equal to 99+8, or 917.

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