This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & CBSE Board.

Question Number 22 Exercise 3E of RS Aggarwal Solution

Here you have to Find a fraction which becomes (1/2) when a number is subtracted from the numerator and a number is added to the denominator, and the fraction becomes (1/3) when a number is subtracted from the numerator and a number is subtracted from the denominator.

you have to find the fraction.

Deepak BoraNewbie

# Find a fraction which becomes (1/2) when 1 subtracted from the numerator and 2 is added to the denominator, and the fraction becomes (1/3) when 7 is subtracted from the numerator and 2 is subtracted from the denominator.

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Let the numerator be cans denominator be y

fraction=x/y

x-1/y+2=1/2

2x-2=y+2

2x-y=4…. ..(1)

x-7/y-2=1/3

3x-21=y-2

3x-y=19……..(2)

2x-y=4

3x-y=19

– + –

________

-x=-15

x=15

putx=15 in equation (1)

2x-y=4

2×15-y=4

30-y=4

-y=4-30

-y=-26

y=26

thus, the required fraction is 15/26