# If the sum of ten different positive integers is 100, then what i

| If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?

A. 45

B. 91

C. 55

D. 64

#### SOLUTION

• Sum of first nine natural number = 1+2+3+4+5+6+7+8+9=45 (Since the other 9 numbers have to be minimum and distinct)
• So the tenth number is 100-45=55.
• Hence the greatest possible number among these 10 number is 55.
• So, option C is the correct answer.