Question 635969
The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length of each side?

ans:-

let in triangle ABC sides AB<BC<CA
as per question 
BC=AB+4    eqn 1
BC=CA-2    eqn 2
now if BC=x" then AB=x-4 & CA=x+2 (from above eqns)
but AB=BC=Ca=31
or x-4+x+x+2=31
or 3x=31+4-2=33
x=BC=33/3=11
AB=11-4=7 & CA=11+2=13 ans