FunTrivia Homepage New Questions Unanswered Post a Question Goto Qn # Archives

# What is the lowest number that is: (a) the sum of five consecutive numbers, and also (b) the sum of two consecutive odd numbers and also (c) the sum of three consecutive even numbers ?

Question #103790. Asked by sox0306. (Mar 13 09 7:56 AM)

Midget40

30

4 + 5 + 6 + 7 + 8 = 30

14 + 16 = 30

8 + 10 + 12 = 30

Reference : Midgets Brain

 Mar 13 09, 8:54 AM
skatharaki

It must be 60...

10-11-12-13-14 =60 five consecutive numbers

29-31 = 60 two consecutive odd numbers

18-20-22 = 60 three consecutive even numbers

 Mar 13 09, 9:30 AM
looney_tunes

To prove the smallest number that is the sum for all three cases:
a) the 5 consecutive numbers are n, n+1, n+2, n+3, n+4 where n is the first number; their sum is 5n+10, n=0,1,2,3,4,...; possible sums are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, ...
b) the two consecutive odd numbers are m, m+2 where m is the smaller odd numbers; their sum is 2m+2, m=1,3,5,...; possible values are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, ...
c) the three consecutive even numbers are x, x+2, x+4; their sum is 3x+6, x=0,2,4,6,...; possible values are 6, 15, 24, 33, 42, 51, 60, 69, ...

The first number that appears in all three lists is 60, so 60 is the lowest number that meets all three criteria.

 Mar 13 09, 11:57 PM

### Other Similar Questions & Answers

 In the National Lottery do you stand the same chance by doing numbers 1,2,3,4,5,6 or any six consecutive numbers as doing any six random numbers?

### Suggested Related FunTrivia Quizzes - 90,000 currently online

1 Sum 41
 Do you know anything about these four crazy guys? Even if you don't know much about them, take my quiz and learn about them! I added five new questions, more interesting information and now all the questions are multiple choice! Enjoy!
Sum 41 Average
15 Q
singnbabe
May 29 02
2709 plays
2 Sum 41
 Sum 41 is one of my favourite bands, and here is a quiz on the band members and their music. This quiz is pretty easy.
Sum 41 Average
10 Q
ziggy71288
Feb 18 03
2727 plays
3 Sum 41
 How much do you know about rock band Sum 41? This quiz will test your knowledge!
Sum 41 Average
10 Q