Question

the difference between two whole numbers is 66 .the ratio is of two numbers is 2:5. what are the two numbers ?​

Answer 1

Given :-

Difference between two whole numbers is 66

and,

Their ratio is 2:5

To find :-

The two numbers.

Solution :-

let the two numbers be,

5x and 2x

Now,

5x - 2x = 66

3x = 66

x = 66/3

x = 22

substituting the value of x to find the two numbers,

5x = 5(22) = 110

2x = 2(22) = 44

Therefore the two numbers are 110 and 44.

_________________________

Verifying our answer :-

110 - 44 = 66

Hence, Our answer is correct.

Answer 2

Answer:

$\large\boxed{\sf{44\;\;and\;\;110}}$

Step-by-step explanation:

Given that, there are two whole numbers.

Ratio of given numbers = 2:5

Difference of the numbers = 66

Let, the numbers are 2x and 5x respectively.

Therefore, we will get,

$= > 5x - 2x = 66 \\ \\ = > 3x = 66 \\ \\ = > x = \frac{66}{3} \\ \\ = > x = 22$

Substituting the value of x in required numbers, we will get,

• 2x = 2 × 22 = 44
• 5x = 5 × 22 = 110

Hence, the numbers are 44 and 110.