ICSE & CBSE Board Question Based on Linear Equations in two Variables of RS Aggarwal

In this question A fraction becomes respectively what when a number is substracted from the numerator and when a number is subtracted from the denominator.

You have to find the fraction.

This is the Question Number 49 Of Exercise 3E of RS Aggarwal Solution.

# A fraction becomes 1/3 when 2 is substracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

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Let the numerator be x and denominator be y

According to question,

x-2/y=1/3

3x-6=y…(1)

x/y-1=1/2

2

x=y-1…..(2)

Substitute eq.(1) in eq.(2)

2x=3x-6-1

2x-3x=-7

-x=-7

x=7

Substitute this value in eq.(2)

2x=y-1

2(7)=y-1

14+1=y

y=15

So fraction become 7/15