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The average of six consecutive integers is 159.5. What is the fourth number

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160

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Let x be the 4th consecutive integer. The others are x-3, x-2, x-1, x+1 and x+2 respectively. The average of the numbers is 159.5 (x-3 + x-2 + x-1 + x + x+1 + x+2) / 6 = 159.5 (6x - 3) / 6 = 159.5 x - 3/6 = 159.5 x - 0.5 = 159.5 x = 160 The numbers are: 157, 158, 159, 160, 161, 162 Answer: The 4th number is 160

            
        

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