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. ​

Let the fraction be qp

So q=p+7

q−6p+17=2

⇒p+7−6p+17=2

⇒p+1p+17=2

⇒p+17=2p+2

⇒p=15

q=15+7=22

So qp=2215.

Step-by-step explanation:

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15/22.

Step-by-step explanation:

Let the denominator of original number be x.

Then the fraction is written as  x/(x+7).

From the given info:-

(x+17)/ (x + 7 - 6) = 2

(x+17)/(x+1) = 2

2(x+1) = x+ 17

2x + 2 = x + 17

x = 17-2 = 15.

So the original number = x/x+7

= 15/22.

21/58.

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