Question

the original numbers. 5. The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6, the new number becomes 2. Find the original number.​

Answer 1

Step-by-step explanation:

 numerator of a rational number = x

Then its denominator = x + 7

and number = xx+7

In second case, number = x+17x+7−6

= x+17x+1

Acording to the condition

x+17x+1=2⇒ 2x+2=x+17⇒ 2x−x=17−2⇒x=15∴ Rational number=xx+7=1515+7=1522  Ans.