The smallest of three consecutive numbers is x. The sum of the three numbers is greater than 81 but less than 99. Find the value of the range of x

Answer 1

81 < x + (x+1) + (x+2) <99

81 < 3x+3 < 99

divide by 3

27 < x+1 < 33

subtract 1

26 < x < 32

x is in the interval [27,31]

x is either 27, 28, 29, 30 or 31

x plus the next two integers = 27+28+29 = 84

or = 28+29+30 = 87

or = 29+30+31 = 90

or = 30+31+32 = 93

or = 31+32+33 = 96