Math, asked by SHAHGUL, 1 year ago

adding unity to the numerator as well as denominator of a fraction makes it equal
to 4/5.subtracting 5 from each makes it equal
to 1/2.what is the fraction?

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Answers

Answered by siddhartharao77
11
Let the fractions be x and y.

Given Adding unity to the numerator and denominator makes it 4/5.

(x+1)/(y+1) = 4/5 

5(x+1) = 4(y+1)

5x + 5 = 4y + 4   ---- (1)

Given that Subtracting 5 from each makes equal to 1/2.

(x - 5)/(y-5) = 1/2

2(x-5) = y-5

2x - 10 = y - 5   ---- (2)


On solving (1) and (2)*4 we get

3x - 21 = 0

x = 7.

Substitute x in (1), we get

40 = 4y + 4

y = 9.

The fraction is 7/9.
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