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Two numbers are consecutive positive multiples of 3. Three
times the larger of the numbers is 7
10
of 5 times the smaller.
What are the numbers?

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sqdancefan

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Answer:

  18, 21

Step-by-step explanation:

Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...

  3(x+3) = (7/10)(5x)

  6x +18 = 7x . . . . . multiply by 2 and simplify

  18 = x . . . . . . . . . . subtract 6x

The two numbers are 18 and 21.

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