Test Index

Ratio and Proportion

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Question : 83 of 112

Marks: +1, -0

The ratio of numbers is

1:2:3

and sum of their squares is 504, then the numbers are -

6, 12, 18
3, 6, 9
4, 8, 12
5, 10, 15

Solution:

Concept:

Let the three numbers be

x

,

2x

, and

3x

since they are in the ratio

1:2:3

.

Explanation:

The sum of their squares is

x^2 + (2x)^2 + (3x)^2 = x^2 + 4x^2 + 9x^2 = 14x^2

.

This sum is given as

504

, so

14x^2 = 504

.

Divide both sides by

14

:

x^2 = \frac{504}{14} = 36

.

Take the positive square root:

x = 6

.

Thus the numbers are

x = 6

,

2x = 12

, and

3x = 18

.

Answer:

Option A:

6

,

12

,

18

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