Question

How many different integers can be expressed as the sum of three distinct numbers from the set {3,8,13,18,23,28,33,38,43,48}?

Answer 1

Answer:

22 Integers

Step-by-step explanation:

How many different integers can be expressed as the sum of three distinct numbers from the set {3,8,13,18,23,28,33,38,43,48}?

All the numbers here at a difference of 5

3,8,13,18,23,28,33,38,43,48

Minimum possible Sum = 3 + 8 + 13 = 24

Maximum Possible sum = 38 + 43 + 48 = 129

All other Sum will be in difference of 5

24  , 29  , 34  ,  ..............................................129

129 = 24 + (n-1)5

=> 105 = (n-1)5

=> 21 = n - 1

=> n = 22

22 Integers can be expressed as the sum of three distinct numbers from the set