Question

Page No
youva
The denominator of a fraction is 4
more than twice its number numerator
Denominator become 12 times the
numberrator, if both the numberato
& the demominator are reduced
by 6. find the farction.​

Answer 1

Step-by-step explanation:

let the fraction be X by y

denomination of a fraction is 4 more than twice its numerator

so,

y=4+2x

2x-y= - 4 ..... (1)

also denominator becomes 12 times it's numerator, if both the numerator and denominator are reduced by 6.

so,

y - 6 = 12 (x - 6)

y - 6 = 12x - 72

12x - y = 72 - 6 = 66

12x - y =66 ......(2)

subtracting (1) from (2)

12x - 2x - y - (- y )=66- (-4)

10x = 70

X = 70 by 10 = 7

X = 7

putting the value of X = 7 in (1)

2(7)- y = -4

14 - y = - 4

y = 14 + 4 = 18

thus the fraction obtained is 7 by 18.