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find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

Answer :

Let the first integer  be x, then:-

2 (x + x+ 2) = 3(x + 6) + 14

4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28 

the four  integers are 28,30,32 and 34.

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