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

Sum

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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Solution

Since the ratio of the two numbers is 2: 5, we may take one number to be 2x and the other to be 5x.
The difference between the two numbers is (5x – 2x). It is given that the difference
is 66.
Therefore,
5x - 2x = 66
or 3x = 66
or x = 22
Since the numbers are 2x and 5x, they are 2 × 22 or 44 and 5 × 22 or 110, respectively.
The difference between the two numbers is 110 – 44 = 66 as desired.
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