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14 August, 15:02

The ratio of two numbers is 3 to 7. If the sum of the two number is 50, what are the two

numbers? Be sure to show all of your work.

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  1. 14 August, 15:42
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    15 and 35

    Step-by-step explanation:

    If the ratio of two numbers is 3:7, then we can multiply the same factor by both numbers and continue to get the same ratio. For example, 3 x 2 = 6 and 7 x 2 = 14, the ration 6:14 can be simplified to 3:7. So, if we use the variable 'x' in the sum of the two numbers, we can solve for 'x' and find the two numbers:

    3x + 7x = 50

    Combine like terms: 10x = 50

    Divide and solve for 'x': x = 5

    3x = 3 (5) = 15

    7x = 7 (5) = 35

    15:35 = 3:7
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