Question

Find the ratio of (4x - 5y) and (5x + 2y), if
(2x - y): (2x + 4y) = 1:4?
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Answer 1

Answer:

$\frac{2x - y}{2x + 4y} = \frac{1}{4}$

$\frac{2x - y}{x + 2y} = \frac{1}{2}$

so Let 2x - y = k......(i)

&. x + 2y = 2k .......(ii)

Apply (i) ×2 + (ii), we get

$4x + x = 2k + 2k$

$5x = 4k \: \: i.e \: \: x = \frac{4}{5} k$

putting x in (i),

$2 \times \frac{4}{5} k - y = k$

$y = \frac{8}{5} k - k = \frac{3}{5} k$

putting x,y in

$\frac{4x - 5y}{5x + 2y} = \frac{4 \times \frac{4}{5}k - 5 \times \frac{3}{5} k }{5 \times \frac{4}{5}k + 2 \times \frac{3}{5}k } = \frac{1}{26}$

Ans.

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