1.

The sum of two natural numbers is 128. Then find which of the following options cannot be the ratio of these two numbers.1. 9 : 72. 7 : 13. 4 : 34. 2 : 25. 3 : 5

Answer» Correct Answer - Option 3 : 4 : 3

Given:

Sum of numbers = 128

Concept:

Simple addition and in this type of questions how we need to use options to extract Our answers.

Calculation:

In this types of questions check the options
 

Option (1)

Let the numbers be 9x and 7x respectively

⇒ 9x + 7x = 128

⇒ 16x = 128

⇒ x = 8

⇒ 9x = 9 × 8 = 72 and 7x = 7 × 8 = 56
 

Option (2):

Let the numbers be 7x and x respectively

⇒ 7x + 1x = 128

⇒ 8x = 128

⇒ x = 16

⇒ 7x = 7 × 16 = 112 and x = 1 × 16 = 16
 

Option (3):

Let the numbers be 4x and 3x respectively

⇒ 4x + 3x = 128

⇒ 7x = 128

⇒ x = 18.285

⇒ 4x = 4 × 18.285 = 73.1428 and 3x = 3 × 18.285 = 54.8571
 

Option (4):

Let the numbers be 2x and 2x respectively

⇒ 2x + 2x = 128

⇒ 4x = 128

⇒ x = 32

⇒ 2x = 2 × 32 = 64 and 2x = 2 × 32 = 64
 

Option (5):

Let the numbers be 3x and 5x respectively

⇒ 3x + 5x = 128

⇒ 8x = 128

⇒ x = 16

⇒ 3x = 3 × 16 = 48 and x = 5 × 8 = 80

∴ We can say that number 128 cannot be divided in the ratio 3 : 4


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