Question

The ratio of two numbers is 6 : 11 and their difference is 65. What will be the smaller number among both the numbers?

A) 58 B) 65 C) 52 D) 78

Answer 1

Step-by-step explanation:

let the numbers be 6x and 11x

11x - 6x = 65

5x = 65

x = 13

numbers are 78 and 133

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Answer 2

❀ Your Answer Is Option D.

ExplanaTion:-

Given:-

• The ratio of two numbers is 6:11.
• Difference between them is 65.

To Find:-

• The Smaller Number.

So Now,

Let the numbers be 6x and 11x respectively.

The difference is positive so we can say that smaller number is subtracted from the greater one.

We can see that smaller number is 6x And greater number is 11x.

Therefore Acc. To QUE.:-

↦ 11x - 6x = 65.

↦ 5x = 65.

↦ x = 65/5.

↦ x = 13.

So the numbers are:-

• 11x = 11 × 13 = 143.

• 6x = 6 × 13 = 78.

❝Therefore the smaller number is 78. ❞

So the final answer is Option D) 78.