Question

If x:y::3:4. Find the ratio of 7x-4y:3x+y.

Answer 1

If x:y = 3:4 then

on solving

x/y=3/4

i.e x=(3/4)y______EQ^N(1)

to find the ratio of [7x -4y] : [3x + y] .

[7x -4y] : [3x + y]

=(21y-16y)/(9y+4y) ((ON SUBSTITUTING VALUE FROM EQUATION 1))

=5Y/13Y

=5:13

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Answer 2

Answer:

5/13

Step-by-step explanation:

x/y=3/4 =>x=3y/4

now 7x-4y = 21y/4 -16y/4 = 5y/4........(1)

also 3x + y = 9y/4 + 4y/4 ..............(2)

(1)/(2)

(7x - 4y )/(3x + y) = (5y/4)/(13y/4)

                            =5/13