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