Three consecutive even integers are such that the sum of the smaller two is 52 less than three times the largest. What are they?

Question

Three consecutive even integers are such that the sum of the smaller two is 52 less than three times the largest. What are they?

Answer 1

S+M = 3L-52

x + x+2 = 3(x+4) -52

2x +2+52 = 3x +12

x =54-12 = 42

S=42

M = 44

L = 46

42+44 = 3(46) -52

86 = 138-52 = 86

the 3 consecutive even numbers are 42, 44, 46