Problema Solution
Find four consecutive integers whose sum is between 51 and 65
Answer provided by our tutors
he four consecutive integers can be written as:
x - 1, x, x + 1, x + 2
where x is integer.
x - 1 + x + x + 1 + x + 2 > 51
........
........
x > 12.25
x - 1 + x + x + 1 + x + 2 < 65
........
........
x < 15.75
For x = 13 we have the following four consecutive integers:
12, 13, 14, 15
Indeed
51 < 12 + 13 + 14 + 15 < 65