Question

Two numbers are in the ratio 2:5. If they differ by 66, what are the numbers?
A. 40,110
B. 44,110
C. 60, 100
D. None of the above​

Answer 1

Answer:

A. 40, 110

The first number is 44

The second number is 110

Step-by-step explanation:

Let,

The first number = 2x

The second number = 5x

★ According to the question:

Difference between 2 numbers is 66

So,

⇒ 5x - 2x = 66

⇒ 3x = 66

⇒ x = 66 / 3

⇒ x = 22

___________________________

★ Value of 2x:

⇒ 2 (22)

⇒ 2 × 22

⇒ 44

___________________________

★ Value of 5x:

⇒ 5 (22)

⇒ 5 × 22

⇒ 110

Therefore,

A. 40, 110

The first number is 44

The second number is 110

Answer 2

Given ,

The ratio of two numbers is 2 : 5 and their difference is 66

Let ,

The two numbers are 2n and 5n

According to the question ,

5n - 2n = 66

3n = 66

n = 66/3

n = 22

$\therefore$ The two numbers are 44 and 110