Question

find the three consecutive integers such as the sum of the first and third is 49 less than three times the second

Answer 1

48, 49, 50

Explanation:

`n,\ n+1,\ n+2-\text{three consecutive integers}\\\\\text{The equation:}\\\\n+(n+2)=3(n+1)-49\qquad\text{use distributive property}\\\\2n+2=3n+3-49\qquad\text{subtract 3n from both sides}\\\\-n+2=-46\qquad\text{subtract 2 from both sides}\\\\-n=-48\qquad\text{change the signs}\\\\n=48\\\\48+1=49\\\\48+2=50`