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If the numerator of a fraction is multiplied by 2 and the denominator is reduced by 5 the fraction become 6/5 and if the denominator is double and the numerator is increase by 8, the fraction become 2/5. find the fraction |
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Answer» Step-by-step explanation: LET numerator=x denominator=y fraction =x/y ATQ _1 2x/y-5=6/5 10x=6y-30 5x-3y=-15 -----------(i) ATQ _2 x+8/2y=2/5 5x+40=4y 5x-4y=-40-----------(II) subtract (i) and (ii) 5x-3y=-15 5x-4y=-40 - + + ___________ 0+y=25 ___________ y=25 PUTTING this value in eq (i) 5x-3y=-15 5x-3(25)=-15 5x-75=-15 5x=-15+75 5x=60 x=12 hence, x=12 y=25 |
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