The sum of three consecutive number is 54. How do you find the numbers?

1 Answer

#17, 18 and 19# are the only three consecutive numbers whose sum is #54#.

Explanation:

Assuming the first of the 3 consecutive numbers to be #n#, we then know that #(n) + (n+1) + (n+2) = 54#.

i.e. #(3xxn)+3=54.#

Change 3 to the other side #3xxn = 54-3=51, #

and that gives you #n = 51/3=17.#

Therefore #n, n+1 and n+2# become #17, 18 and 19# (sum = 54).