Question

112
Mathematics for Class 8
the original number.
13. The denominator of a rational number is greater than its numerator by 7. If the numerator
is increased by 17 and the denominator decreased by 6, the new number becomes 2. Find the Original number ?​

Answer 1

ANSWERS :-

15/22

Step-by-step explanation:

Let the numerator be x and denominator be y.

According to the question

y = x+7.............(1)

(x+17)/(y-6) = 2/1 .........(2)...

•from cross multiplication

x+17=2(y-6)

x+17=2y-12

x-2y+29=0

x-2(x+7)+29=0 ...............(from equation 1 , y=x+7)

x-2x-14+29=0

-x+15=0

-x= -15

x = 15

From equation 1:-

y = x+7

y= 15+7

y = 22

So, the original number = 15/22. (Answer)....

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