Question

If the ratio between 8 and 11 is the same as
the ratio of 2x - y to x + 2y, find the value
7x
of 7x/9y​

Answer 1

Answer:

☆ ANSWER ☆

ACCORDING TO THE GIVEN CONDITIONS ;

8 / 11 = (2X-Y) / (X + 2Y)

8(X+ 2Y) = 11(2X -Y)

8X + 16Y = 22X - 11Y

22X - 8X = 16Y + 11Y

30X = 27Y

X / Y = 27/30

X / Y = 9/10

THERFORE ,

7X / 9Y = (9×7)/(10×9)

7X / 9Y = 63 / 90

7X /9Y = 21/30

7X /9Y = 7/ 10

HOPE THAT HELPS

➡7X : 9Y = 7 : 10✔✔

Answer 2

Answer:

$\huge\underline{ \underline{ \red {your \: \: \: answer}}}$

Step-by-step explanation:

$\bf\red{ \mapsto : \frac{8}{11} = \frac{2x - y}{x + 2y} } \\ \\ \bf\red{ \mapsto: 8(x + 2y) = 11(2x - y)} \\ \\ \bf\red{ \mapsto:8x + 16y = 22x - 11y } \\ \\ \bf\red{ \mapsto:22x - 8x = 16y + 11y } \\ \\ \bf\red{ \mapsto:14x = 27y } \\ \\ \bf\red{ \mapsto: \frac{x}{y } = \frac{27}{14} } \\ \\ \bf\red{ now \mapsto:: \frac{7x}{9y} = \frac{7 \times 27}{9 \times 14} } \\ \\ \bf\red {\boxed{ \mapsto \frac{3}{2} : } }$