# SOLUTION: Find 4 consecutive even integers such that four less than twice the samllest is equal to three times the largest, increased by two.

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 Question 101877: Find 4 consecutive even integers such that four less than twice the samllest is equal to three times the largest, increased by two. Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!Looking over this problem it, becomes apparent that the numbers are negative : Find 4 consecutive even integers x, (x-2), (x-4), (x-6); where x is the greatest number, (x-6) is the smallest ; such that four less than twice the smallest is equal to three times the largest, increased by two. : 2(x-6) - 4 = 3x + 2 : 2x - 12 - 4 = 3x + 2 : 2x - 16 = 3x + 2 : 2x - 3x = 2 + 16 : -x = +18 : x = -18 : The numbers, smallest to greatest: -24, -22, -20, -18 : : Check solution using the statement: "four less than twice the smallest is equal to three times the largest, increased by two.: 2(-24) - 4 = 3(-18) + 2 -48 - 4 = -54 + 2; confirms our solution