1.

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​

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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