Answer :

let x is the smallest integer
x+1 is the middle integer
x+2 is the largest integer

sum of smallest and five times the largest is 196
x +5(x + 2) = 196
x + 5x + 10= 196
6x + 10 = 196
6x = 186
x = 186/6
x = 31

x+1 =31+1 = 32
x+2 =31+2 =33


proof:

sum of smallest and five times the largest is 196

x +5(x + 2) = 196
31+5(31+2) = 196
31+5(33)=196
31+165=196
196=196 ...> true

answer:
3 consecutive integers are 31,32,33

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