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If the smallest number is x, then the largest one is 2x + 9. Then,

x + 2x + 9 = 5x - 3 (we assume that this is true)

3x + 9 = 5x - 3 subtract 5x and 9 to both sides

-2x = -12 divide by -2 to both sides

x = 6

Since x = 6, then 2x + 9 = 2(6) + 9 = 12 + 9 = 21.

check:

6 + 21 = 5(6) - 3 ?

27 = 30 - 3 ?

27 = 27 True

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