n - the first number
n + 11 - the second number
2n + 6 - the third number
81 - the sum of three numbers
The equation:
n + (n + 11) + (2n + 6) = 81
n + n + 11 + 2n + 6 = 81 combine like terms
(n + n + 2n) + (11 + 6) = 81
4n + 17 = 81 subtract 17 from both sides
4n = 64 divide both sides by 4
n = 16
the largest of the tree numbers is the third number 2n + 6.
Substitute the value of n:
2(16) + 6 = 32 + 6 = 38
Answer: 38
