Find the values of x and y if a and b are in inverse proportion:
a. 12 x 8
b. 30 5 y

Solution:

If a and b are in inverse proportion then we can state:

a ∝ 1/b

ab = k

Where k = positive constant

Therefore we can write:

12 × 30 = (x) × 5 = 8 × y

5x = 8y = 360

Hence,

y = 360/8 = 45

x = 360/5 = 72

✦ Try This: Find the values of x and y if a and b are in inverse proportion: a. 15 x 12, b. 24 3 y

If a and b are in inverse proportion then we can state:

a ∝ 1/b

ab = k

Where k = positive constant

Therefore we can write:

15 × 24 = (x) × 3 = 12 × y

3x = 12y = 3600

Hence,

y = 360/12 = 30

x = 360/3 = 120

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 74

Find the values of x and y if a and b are in inverse proportion:a. 12 x 8 b. 30 5 y

Summary:

The values of x and y if a and b are in inverse proportion are 72 and 45 respectively a. 12 x 8, b.30 5 y

☛ Related Questions:

Math worksheets and
visual curriculum