Question

the smallest of three consecuitive numbers is x. their sum is greater than 81, but less than 99. find the range of values of x

Answer 1

Answer:

26 < x < 32

Step-by-step explanation:

According to the given conditions

1) x + (1+x) + (2+x) > 81

x + 1 + x + 2 + x > 81

3x + 3 > 81

3x > 81 - 3

3x > 78

x > 78/3

x > 26

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

3x + 3 < 99

3x < 99 - 3

3x < 96

x < 96/3

x < 32