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shawdyman shawdyman
  • 29-07-2016
  • Mathematics
Answered



The sum of three consecutive integers is 267. What is the largest integer?

Verified Answer :

dalendrk
dalendrk dalendrk
  • 29-07-2016

\(n;\ n+1;\ n+2-the\ consecutive\ integers\\\ +(n+1)+(n+2)=267\\\ +n+1+n+2=267\\\\3n+3=267\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\3n=264\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{n=88}\\\\the\ largest\ integer:n+2=88+2=90\\\\Answer:\fbox{90}\)

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