Question

The numerator of a rational number iss maller than it's denominator by 4.If the numerator is increased by 3 and denominator is decreased by 5,the number becomes 2.Find the rational number.
​

Answer 1

Answer:

This will surely help you

Answer 2

$\huge\mathfrak\red{Answer:}$

Given:

• It is given that the numerator of a rational number is smaller than it's denominator by 4.
• When numerator is increased by 3 and denominator is decreased by 5,the number becomes 2.

To Find:

• We need to find the rational number.

Solution:

Let the numerator be x.

According to the question numerator of this rational number is smaller than it's denominator by 4, so denominator will be x + 4.

By Question,

(x + 3)/(x + 4) - 5 = 2

=> (x + 3)/(x - 1) = 2

By cross multiplying the terms, we have

(x + 3) = (x - 1) × 2

= (x + 3) = 2x - 2

=> x = 2x - 2 - 3

=> x = 2x - 5

=> x - 2x = -5

=> -x = -5

=> x = 5

Therefore, numerator(x) = 5 and denominator(x + 4) = 5 + 4 = 9.

Hence the required rational number is 5/9.