Question

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

Step-by-step explanation:

let the numerator be N

let the denominator be D

D=N+7-6

N=N+17

N+1/N+17=2

N+1=2N + 34

1-34=2N-N

N=-33

D=-32

-33/-32=33/32

answer =33/32

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Answer 2

Step-by-step explanation:

let the numerator be x and denominator be x+7

now,

x+17/x+7-6=2

x+17/x+1=2

x+17=2x+2

17-2=2x-x

15=x

therefore the original number will be

15/15+7=15/22