x and y vary directly. When x = 3, then y = 36. What will be the value

1.	x and y vary directly. When x = 3, then y = 36. What will be the value of x when y = 96? A. 18 B. 12 C. 8 D. 4
Answer» We use the relation \(\frac{\text{x}}{y}=\frac{\text{x}}{Y}\) Here x₁ = 3, y₁ = 36 and y₂ = 96 Here, \(\frac{3}{36}=\frac{\text{x}{_1}}{96}\) ⇒ x₁ × 36 = 3 × 96 ⇒ x₁ = \(\frac{3\,\times\,96}{36}\) = 8

x and y vary directly. When x = 3, then y = 36. What will be the value of x when y = 96? A. 18 B. 12 C. 8 D. 4

Answer»

We use the relation \(\frac{\text{x}}{y}=\frac{\text{x}}{Y}\) Here x₁ = 3, y₁ = 36 and y₂ = 96

Here, \(\frac{3}{36}=\frac{\text{x}{_1}}{96}\)

⇒ x₁ × 36 = 3 × 96

⇒ x₁ = \(\frac{3\,\times\,96}{36}\) = 8