: 3. Detern
10. If the numerator of a fraction is multiplied by 2 and the denominator is reduced by 5 the
fraction becomes 6/5, And, if the denominator is doubled and the numerator is
increased by 8, the fraction becomes 2/5. Find the fraction,
ha numerator and denominator
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Answer:
let the numeretor be x
denominator be y
required fraction x/y
condition 1
2x = 6
y-5 5
10x = 6y-30
10x-6y = -30 ..... 1
condition 2
x+8 = 2
2y 5
5x - 4y = -40
10x - 8y = -80 ......2
Substract eq 1 from 2
10x - 8y = -80
-(10x-6y = -30 )
-2y = - 50
y = 25 .... put this in eq 1
10x - 150 = -30
10x= 120
x= 12
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