Question

If the numerator of a fraction is decreased by 1 its value becomes 2/3 , but if the denominator is increased by 5 its value becomes 1/2. What is the fraction ?

Answer 1

HIII....

GOOD MORNING:)

HERE IS YOUR ANSWER:--------

LET THE NUMERATOR BE X

AND,

DENOMINATOR BE Y

THE FRACTION IS X/Y BY FIRST CONDITION .

Y+1X= 3/4

X+Y= 3/4

4X+ 4Y=3----------------- eq.(1)

BY SECOND CONDITION

X+2Y=1/2

2X+4Y= 1------------------eq.(2)

SUBTRACTING eq 1AND 2 WE GET,

4X+4Y=3

2X+4=1

2X=2

X=2/2

X=1

PUTTING X=1 IN EQUATION 1 WE GET,

2(1) +4Y=1

2+4Y= 1

4Y= 1-2

4Y=-1

Y=1/2

THE FRACTION IS X/Y

1/-1/4

-4/1

HOPE THIS HELPS YOU.....

HAVE A GREAT DAY AHEAD.....✌

Answer 2

$\huge\bold\red{Heya\:Mate}$

✌️HERE IS YOUR ANSWER✌️

Let the numerator be "x" and denominator be "y".

So the fraction is $\bold\huge{x/y}$

$\bold\red{BY\:FIRST\:CONDITION}$

➡️x+y=3/4

➡️4x+4y=3_____________(eq..1)

____________________________________

$\bold\red{BY\:SECOND\:CONDITION}$

➡️x+2y=1/2

➡️2x+4y=1______________(eq..2)

____________________________________

$\bold\green{Subtracting\:eq.2\:from\:eq.1}$

{4x+4y=3} - {2x+4y=1}
4x-2x+4y-4y = 3-1
2x=2
So,

$\huge\bold\green{[x=1]}$

____________________________________

Using (x=1) in eq.. Eq 1

4(1)+4y=3
4+4y=3
4y= -1
So,

$\huge\bold\green{[y=\: -1/4]}$

____________________________________

So, now x=1 and. y= - 1/4

Then the fraction = x/y = 1/(-1/4)

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$\huge\bold\red{x/y= - 4/1}$______Answer...

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I HOPE IT IS HELPFUL TO YOU.... ✌️☺️✌️