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The ratio of two numbers is 7:10 and their difference is 105.The numbers are?
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The ratio of two numbers is 7:10 and their difference is 105.The numbe...
Solution:

Given:
- The ratio of two numbers is 7:10
- The difference between the two numbers is 105

Let the numbers be 7x and 10x:
- Let the first number be 7x
- Let the second number be 10x

Calculating the difference:
- The difference between the two numbers is given as 105
- Therefore, 10x - 7x = 105
- Simplifying, we get 3x = 105
- Hence, x = 35

Calculating the numbers:
- First number = 7x = 7 * 35 = 245
- Second number = 10x = 10 * 35 = 350

Therefore, the two numbers are 245 and 350.

Explanation:
- The ratio of the two numbers is 7:10, which means the first number is 7x and the second number is 10x, where x is a common factor.
- The difference between the two numbers is 105, which gives us the equation 10x - 7x = 105.
- Solving the equation, we find x = 35, which allows us to calculate the first number (7x) and the second number (10x).
- Hence, the two numbers are 245 and 350, with a ratio of 7:10 and a difference of 105.
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