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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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.
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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