Question 742320
let the integers be (a-1),a, a+1

a(a-1)+(a+1)^2=137

a^2-a+a^2+2a+1=137

2a^2+a-136=0


2a^2+17a-16a-136=0

2a(a+8.5)-16(a+8.5)=0

(2a-16)(a+8.5)=0

2a=16 a=8

7,8,9 

24 is the sum


OR a=-8.5

not an integer so ignore