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?

Question

A. (+3) = 90

B. n+n+n = 90

C. n+2n+3n = 90

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

Answer 1

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.