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# 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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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.

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1. #### if the sum of the first n term of an ap is 4 and minus n square what is the first term,what is the sum of first two term and what is the second term similarly find the third and the 10th and also the end term

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2. 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

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