Question

numerator of a fraction is 2 less than the denominator . If 1 is addedcto the numerator and 3 to the denominator then the fractiom becomes 2\3 . find the orignal fraction

Answer 1

Answer:

Step-by-step explanation:

x-2+1/x+3=2/3

Answer 2

Let denominator = x ,

numerator = ( x - 3 )

Original number = ( x - 3 )/x ---( 1 )

If the numerator and denominator are

both increased by 2 the new fraction = 6/7

( x - 3 + 2 )/ ( x + 2 ) = 6/7

( x - 1 )/( x + 2 ) = 6/7

7( x - 1 ) = 6( x + 2 )

7x - 7 = 6x + 12

7x - 6x = 12 + 7

x = 19

Therefore ,

Original number = ( x - 3 )/x

= ( 19 - 3 )/19

= 16/19

I hope this helps you.

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