Question

If we add 5 to denomitator and subtract 5 from numeertar fraction reduces to 1\7 if we subtract 3 from numertor and add 3 to denomitatr it reduces to 1\3

Answer 1

Question

If we add 5 to denominators and subtract 5 from numerator fraction reduces to 1\7 if we subtract 3 from numerator and add 3 to denominator it reduces to 1\3 ?

Solution

GiVeN :-

• If we add 5 to denominators and subtract 5 from numerator fraction reduces to 1\7
• we subtract 3 from numerator and add 3 to denominator it reduces to 1\3 ?

FiNd :-

• These Function

Explanation

Let,

• Numerator be = x
• Denominator be = y

A/C to question,

(If we add 5 to denominators and subtract 5 from numerator fraction reduces to 1\7)

==> (x-5)/(y+5) = 1/7

==> 7 * (x-5) = (y+5)

==> 7x - y = 5 + 35

==> 7x - y = 40 ------------Equ(1)

Again,

(we subtract 3 from numerator and add 3 to denominator it reduces to 1\3 ?)

==> (x-3)/(y+3) = 1/3

==> 3 * (x-3) = y + 3

==> 3x - y = 3 + 9

==> 3x - y = 12 ---------------Equ(2)

Subtract Equ(1) & Equ(2)

==> 7x - 3x = 40 - 12

==> 4x = 28

==> x = 28/4

==>x = 7

Keep Value in equ(1)

==> 7 * 7 - y = 40

==> y = -40 + 49

==> y = 9

Hence

• Value of x = 7
• Value of y = 9

[ Ans].

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