Question

find all set of three consecutive positive integers where sum is less than 30​

Answer 1

Answer:

There are eight sets

Step-by-step explanation:

The number of set of consecutive positive number whose sum is less then 30 are following

{1+2+3} {2+3+4} {3+4+5} {4+5+6} {5+6+7}{6+7+8 } {7+8+9} {8+9+10}

Because

1+2+3 = 6 < 30

2+3+4 = 9 < 30

3+4+5 = 12 < 30

4+5+6 = 15 < 30

5+6+7 = 18 < 30

6+7+8 = 21 < 30

7+8+9 = 24 < 30

8+9+10 = 27 < 30

9+10+11 = 30

Hence there are eight sets of numbers which satisfy the condition.