Question

Ifxandyvaryinverselyandx=25,wheny=3findywhenx=15.​

Answer 1

Question

If x and y vary inversely and x = 25, when y = 3 find y when x = 15.

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Given

$\begin{array}{| c | c | c |}\cline{1-3} \bf x & 25 & 15 \\ \cline{1-3} \bf y & 3 & y_{2}\\ \cline {1-3} \end{array}$

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To Find

• y₂

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Solution

Inverse Proportion is when one value increases while the other decreases.

So here the formula we will use to find y₂ is ⇒ x₁y₁ = x₂y₂

x₁ = 25

y₁ = 3

x₂ = 15

y₂ = ?

Let's solve the equation step-by-step.

25 × 3 = 15 × y₂

Step 1: Simplify the equation.

⇒ 25 × 3 = 15 × y₂

⇒ 75 = 15 × y₂

Step 2: Flip the equation.

⇒ 75 = 15 × y₂

⇒ 15 × y₂ = 75

Step 3: Divide 15 from both sides of the equation.

⇒ 15 × y₂ ÷ 15 = 75 ÷ 15

⇒ y₂ = 5

∴ y = 5

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Answer 2

Answer:

Correct Question :-

If x and y vary inversely and x = 25, when y = 3 find y when x = 15.

To Find :-

y

Solution :-

Here we will use the formula

$\bf \: x_1 \times y_1 = x_2 \times y _2$

Here,

$\sf \: x_1 = 25$

$\sf \: y_1 = 3$

$\sf \: x_2 = 15$

$\sf \: y_2 = y$

Let's Solve

$\sf \: 25 \times 3 = 15 \times y$

$\sf \: 75 = 15 \times y$

$\sf \: 75 = 15y$

$\sf \: y \: = \cancel\dfrac{75 }{15}$

$\sf \: y \: = 5$