The sum of three consecutive integers is 90. The least of the three integers is n. Which equation can be used to find the value of the least integer?

A. (+3) = 90

B. n+n+n = 90

C. n+2n+3n = 90

D. n+(n+1)+(n+2) = 90

1 answer

To find the sum of three consecutive integers where the least integer is \( n \), we can express the three integers as \( n \), \( n + 1 \), and \( n + 2 \).

Therefore, the equation that represents the sum of these three integers is:

\[ n + (n + 1) + (n + 2) = 90 \]

Simplifying this, we get:

\[ n + n + 1 + n + 2 = 90 \]

\[ 3n + 3 = 90 \]

So the correct equation from the options given is:

D. n + (n + 1) + (n + 2) = 90.