Question

the denominator of a rational number is greater than its numerator by 4 .if 3 is subtracted from the numerator and 4 added to the denominator, the new number becomes 2/3. find the original number.​

Answer 1

Answer:

25/29

Step-by-step explanation:

Let numerator be x

Denominator = 4 + x

(x) - 3 / ( 4 + x ) + 4 = 2/3

3 (x - 3) = 2 ( 8 + x )

3x - 9 = 16 + 2x

3x - 2x = 16 + 9

x = 25

Hence, Original number is 25/29

Answer 2

let numerator be x

denominator =(4+x)

atq, (x-3)/(4+x)+4=2/3

=>(x-3)/x+8=2/3

=>2(x+8)=3(x-3)

=>2x+16=3x-9

=>16+9=3x-2x

=>25=x

numerator =>x=25

denominator=(x+4)=25+4=29

original number=25/29

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