Question

Two numbers are in the ratio 8:3. One of the numbers is 0.48. Work out the two possible values for the other number.​

Answer 1

Given:

Two numbers are in the ratio 8:3.

One of the numbers is 0.48.

To find:

The two possible values for the other number.​

Solution:

Step 1 of 2:

Two numbers are in the ratio 8:3.

One of the numbers is 0.48.

Let the other number be 'x'

x has two possible values.

Therefore,

$\frac{8}{3} =$ $\frac{0.48}{x}$

$x = 0.48$ × $\frac{3}{8}$

$x =$ 0. 06 × 3

$x = 0.18$

Step 2 of 2:

Let the second possible value of 'x' will be,

$\frac{8}{3} =$ $\frac{x}{0.48}$

$x = 0.48$ × $\frac{8}{3}$

$x =$ 0. 16 × 8

$x = 1.28$

Final answer:

The two possible values for the other number is 0.18 and 1.28

Answer 2

Two possible values are 0.18 and 1.28  if Two numbers are in the ratio 8:3 and One of the numbers is 0.48

Given:

• Two numbers are in the ratio 8:3
• One of the numbers is 0.48.

To Find:

• Two possible values for the other number.​

Solution:

Step 1:

Assume that two numbers are :

8x  and 3x

Step 2:

Case 1 :  8x = 0.48  and solve for x

8x = 0.48

x = 0.6

Step 3:

Find value of 3x using x = 0.06

3x = 3 x 0.06 = 0.18

Other Number is 0.18

Step 4:

Case 3 :  3x = 0.48  and solve for x

3x = 0.48

x = 0.16

Step 5:

Find value of 8x using x = 0.16

8x = 8 x 0.16 = 1.28

Other Number is 1.28

Hence, Two possible values are 0.18 and 1.28