Question

The different between two whole number is 66 the ratio of the two number is 2:5 what are two numbers.

Answer 1

Step-by-step explanation:

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

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Let x & y be the nos. & y is the bigger no. as ratio is given

It is given y-x=66…….(1)

x:y=2:5…….(2)

So 2y=5x

y=5x÷2=2.5x

Substituting the value of y in 1

2.5x-x=66

1.5x=66

x=66÷1.5=44

Substituting the value of x in (1)

y-44=66

y=44+66=110

The nos.are 44 &110

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Answer 2

Given:

• The difference between two whole numbers is 66.
• Ratio of the two numbers is 2:5.

To find:

• The numbers.

Solution:

❐ The numbers are in the ratio 2:5, so, let the numbers be 2x and 5x.

ATQ,

• The difference b/w the numbers is 66, therefore,

⇒ 5x - 2x = 66

⇒ 3x = 66

⇒ x = 66/3

⇒ x = 22

Hence,

• First number = 2x = 2(22) = 44
• Second number = 5x = 5(22) = 110

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