Question

if x:y=6:1 find (8x-3y):(3x+2y)

Answer 1

$from \: \: the \: \: given \: \: condition \\ \frac{x}{y} = 6 \\ \\ \frac{8x - 3y}{3x + 2y} = \frac{8 \frac{x}{y} - 3}{3 \frac{x}{y} + 2} \\ = \frac{8 \times 6 - 3}{3 \times 6+ 2} = \frac{45}{20} = \frac{9}{4}$

Answer 2

x/y = 6/1

Therefore , x = 6y -----------------(1)

(8x-3y) = {8(6y)-3y} = (48y - 45y)

(8x-3y) = 45y -------------------------(2)

(3x + 2y) = {3(6y) + 2y} = (18y + 2y)

(3x + 2y) = 20y ----------------------(3)

From (2) and (3),

The ratio is 45:20 i.e,

[ Ans = 9:4]

Hope it helped.

Answer 3

x/y = 6/1

Therefore , x = 6y -----------------(1)

(8x-3y) = {8(6y)-3y} = (48y - 45y)

(8x-3y) = 45y -------------------------(2)

(3x + 2y) = {3(6y) + 2y} = (18y + 2y)

(3x + 2y) = 20y ----------------------(3)

From (2) and (3),

The ratio is 45:20 i.e,

[ Ans = 9:4]

Hope it helped.

Answer 4

x/y = 6/1

Therefore , x = 6y -----------------(1)

(8x-3y) = {8(6y)-3y} = (48y - 45y)

(8x-3y) = 45y -------------------------(2)

(3x + 2y) = {3(6y) + 2y} = (18y + 2y)

(3x + 2y) = 20y ----------------------(3)

From (2) and (3),

The ratio is 45:20 i.e,

[ Ans = 9:4]

Hope it helped.

Answer 5

x/y = 6/1

Therefore , x = 6y -----------------(1)

(8x-3y) = {8(6y)-3y} = (48y - 45y)

(8x-3y) = 45y -------------------------(2)

(3x + 2y) = {3(6y) + 2y} = (18y + 2y)

(3x + 2y) = 20y ----------------------(3)

From (2) and (3),

The ratio is 45:20 i.e,

[ Ans = 9:4]

Hope it helped