Applications of linear equations

Question

The sum of the two smallest of 5 consecutive even integers is 50 less then the sum of the other three integers . What is the smallest integer

Answer 1

x+ x+1 =x+2 + x+3 +x+4 -50

2x + 1 = 3x +9-50 = 3x -41

x = 42= smallest integer

42+43= 44 + 45 +46 -50

85 = 135-50

42 is the smallest integer