Question

7. The denominator of a rational number is greater than its numerator by 8. If the
numerator is increased by 17 and the denominator is decreased by 1, the number
درا
obtained is 3/2
Find the rational number.
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Answer 1

Answer:

Let the numerator be x.

then the denominator will be x+8 .

According to the question .

x+17/(x+8)-1 = 3/2

2(x+17) = 3(x+8)-1

2x+34 = 3x+24-1

2x-3x = 24-1-34

-1x = 24-35

-1x = -11

x = -11/-1

x = 11

so the rational no. is

x/x+8

11/11+8

11/19

Answer . the rational number is 11/19