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# If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.

**Solution:**

If x varies inversely as y can symbolically stated as:

x ∝ 1/y

xy = k

So when x = 4 and y = 6

k = xy = 4 × 6 = 24

When x = 3 then y will be:

xy = 24 (∵ xy = k and k = 24)

3y = 24

y = 8

**✦ Try This:** If x varies inversely as y and x = 6 when y = 9, then when x = 27 the value of y is _______.

If x varies inversely as y can symbolically stated as:

x ∝ 1/y

xy = k

So when x = 6 and y = 9

k = xy = 6 × 9 = 54

When x = 12 then y will be:

xy = 54 (∵ xy = k and k = 54)

27y = 54

y = 54/27

y = 2

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 37**

## If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.

**Summary:**

If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8

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