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

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anskat · Mahek ☮ · Tony B

Jun 11, 2018

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

Explanation:

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

i.e. $(3 \times n) + 3 = 54 .$ $(3xxn)+3=54.$

Change 3 to the other side $3 \times n = 54 - 3 = 51,$ $3xxn = 54-3=51,$

and that gives you $n = \frac{51}{3} = 17 .$ $n = 51/3=17.$

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

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