Question

Numerator of a fraction is 5 more than its denominator. If 4 is added to numerator and denominator, the fraction obtained is 6/5.What will be the fraction?​

Answer 1

Answer:

26/21

Step-by-step explanation:

the steps are shown in the image

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Answer 2

Solution

Given :-

• Numerator of a fraction is 5 more than its denominator
• If 4 is added to numerator and denominator, the fraction obtained is 6/5.

Find :-

• These fraction

Explanation

Let,

• Numerator be = x
• Denominator be = y

According to question,

Case 1.

==> x = 5 + y

==> x - y = 5______________(1)

Case 2.

==> (x + 4)/(y + 4) = 6/5

==> 5 × (x + 4) = 6 × (y + 4)

==> 5x - 6y = 24 - 20

==> 5x - 6y = 4_______________(2)

Multiply by 5 in equ(1)

==> 5x - 5y = 25____________(3)

Sub. equ(2) & (3)

==> -6y + 5y = 4 - 25

==> -y = -21

==> y = 21

keep in equ(2)

==> 5x - 6×21 = 4

==> 5x = 4 + 126

==> x = 130/5

==> x = 26

Hence

• Numerator be (x ) = 26
• Denominator be (y) = 21

Then, required fraction will be

• x/y = 26/21

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