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15 May, 07:57

Two times the least of three consecutive odd integers exceeds three times the greatest by 15

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  1. 15 May, 08:05
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    Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12 + (-15) is - 3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is - 1x, or - x. Now we have - x=-3. Divide by -, or - 1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
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