Question

the denominater of or rational number is greater than it's numeracy by 3 if numerator are increased by and 1and 4 respectively the number obtained is
$\frac{1}{2}$
Find the rational
​

Answer 1

Answer:

Let the numerator of the rational number be x.

Therefore, its denominator will be x + 8.

The rational number will be x / x + 8.

Thus, according to the question we get

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

(x + 17) / (x + 7) = 3/2

Cross-multiplying, we get

2(x + 17) = 3(x + 7)

2x + 34 = 3x + 21

34 - 21 = 3x - 2x

13 = x,

Hence x + 8 = 21

Thus, the numerator is 13 and the denominator = 21

Therefore, the rational number is equal to 13/21

Step-by-step explanation:

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