Question

the numerator of a fraction is 5 less than the denominator.if 2 is added to both numerator and denominator the fraction becomes 4/5 . find the number

Answer 1

Step-by-step explanation:

Let's assume the numerator be x.

Denominator will be x+5.

As per the question,

x+2/ x+5+2 = 4/5

=> x+2 / x+7 = 4/5

=> 5(x+2) = 4(x+7)

=> 5x+10 = 4x+28

=> x = 28-10 = 18.

So, the numerator = 18.

And Denominator = 18+5= 23.

Therefore, Fraction = 18/23.

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Answer 2

Answer:

18/23

Step-by-step explanation:

Let the numerator be x.

Thus, as per question, the fraction can be represented as x/(x+5).

If two is added to both numerator and denominator, and equated to 4/5, we get:

(x+2)/(x+7)=4/5

or, cross multiplying

5x+10 = 4x + 28

or x = 18.

Thus original fraction is 18/23