Question

the numerator of a rational number is 4 less then the denominator, if 1 one is added to numerator amd denominator both the rational number becomes 1/2. find the rational number​

Answer 1

Answer:

3/7

Step-by-step explanation:

Let the denominator be= d

then, numerator = d-4

Rational number = d-4/d

If 1 is added to both the numerator and denominator,

Then, numerator= d-4 +1

Denominator = d+1

d-4 +1/ d+1 = 1/2

d-3 = 1/2 (d+1)

d-3 = d+1 /2

(d-3)2 = d+1

2d-6 = d+1

2d-d = 1+6

d = 7

Rational no. = 7-4 /7

=3/7

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Answer 2

Step-by-step explanation:

if the denominator is x

then the numerator is 4 - x

if 1 is added to both the numerator and denominator

then , denominator = X + 1

numerator = 4 - X + 1

= 5 - x

then, 4 - X + 1 /5 - x = 1/2. (as per given question)

2(4-x)=1(5-x). (by cross multiplying)

8-2x=5-x

8-5=-x+2x

3=x

denominator= 3

numerator= 4-3=1

so, the rational number = 1/3

Hope it may help you.