Question

If 2x + y = 35 and 3x + 4y = 65, then find the value of $\frac{x}{y}$

• A. 2
• B. 1
• C. 3
• D. 4
• E. None of these

Answer 1

The correct option is C 3

We have, 2x + y = 35 ...... (1)

3x + 4y = 65 ...... (2)

From equation (1), y = 35 - 2x

Putting this value of y in (2), we get

3x + 4(35 - 2x) = 65 $\Rightarrow$ 3x + 140 - 8x = 65

$\Rightarrow -5x=65-140=-75$

$\Rightarrow x=\frac{-75}{-5}=15$

Substituting this value of x in y = 35 - 2x, we get

y = 35 - 2(15) = 35 - 30 = 5

$\therefore \frac{x}{y}=\frac{15}{5}=3$