Question

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

Answer 1

Answer:

Step-by-step explanation:

Given :-

Difference between two whole numbers = 66.

Ratio of two numbers = 2 : 5.

To Find :-

The Numbers.

Solution :-

let the two number  be 2x and 5x.

According to the Question.

Then

⇒ 5x - 2x = 66.

⇒ 5x - 2x = 66

⇒ 3x = 66

⇒ x = 66/3

⇒ x = 22

1st Number = 2 × 22 = 44

2nd Number = 5 × 22 = 110

Hence,  the two  numbers are 44 and 110.

Verification :-

⇒ (2nd - 1st) Numbers = Difference

⇒ (110 - 44) = 66

⇒ 66 = 66

⇒ Verified.

Answer 2

• Let the number be M.

» The difference between two whole numbers is 66. The ratio of two numbers is 2:5.

So,

• One number is 2M

and

• Another number is 5M

According to question;

→ 5M - 2M = 66

→ 3M = 66

→ M = 66/3

→ M = 22

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One number = 2M = 2(22) = 44

and

Another number = 5M = 5(22) = 110

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✡ VERIFICATION :

From above calculations we have numbers = 44 and 110

Now.. according to question, the difference between two whole numbers is 66.

So,

=> 110 - 44 = 66

=> 66 = 66

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