Question

A fraction becomes 4/5
if 3 is added to both the numerator and the denominator. If 5 is added
to the numerator and the denominator, it becomes . Find the fraction​

Answer 1

Step-by-step explanation:

Let the fraction be X/Y

X+1/Y+1=4/5

5X+5=4Y+4

5X-4Y=--1

X-5/Y -5 =1/2

2X--10=Y-5

2X-Y =5 (2)

5X--4Y = -- 1(1)

(2)×4 =8X--4Y =20

3X=21

X=21/3=7

2×7– Y=5

Y=14-5=9

Fraction is 7/9

Verification

7+1/9+1 =8/10 =4/5

7-5/9-5 =2/4 =1/2

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