Problema Solution
The lockers on the south wall of the hallway are numbered with consecutive even integers. Seymour's locker is the middle of three lockers whose numbers add up to 534. What is Seymour's locker number ?
Answer provided by our tutors
the three consecutive even integers can be written as
2x - 2, 2x , 2x + 2
where x is integer
Seymour's locker is the middle one that is 2x
the numbers add up to 534 that is
2x - 2 + 2x + 2x + 2 = 534
by solving we find
x = 89
click here to see the step by step solution of the equation
2x = 2*89 = 178
Seymour's locker number is 178.