Question

The denominator of a rational number is greater than it's numerator by 3 . If the numerator is increased by 7 and denominator decreases by 1 the new number is 3/2. Find the original number

Answer 1

hi frnd

let numerator =x

denominator =x+3

number=x/x+3

If the numerator is increased by 7 and denominator decreases by 1 the new number is 3/2


so,x+ 7/x+3-1=3/2

x+7/x+2=3/2

2(x+7)=3(x+2)

2x+14=3x+6

3x-2x=14-6

x=8

there fore

numerator will be8

and denominator will be 11

so,number=8/11


I believe this will help u :)

Answer 2

Hii friend,

let the numerator be x
let the denominator be x+3
new numerator = x+7
new denominator = x+2
BTP,
x+7/x+2=3/2
2x+14=3x+6
2x-3x=6-14
-x=-8
x=8
THEREFORE,
Numerator=8
Denominator=11 (8+3)
The required fraction is 8/11
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HOPE THIS HELPS U...☺