SOLUTION: please show the formula for solving: find all sets of four consecutive odd whole numbers whose sum is less than 38.

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Question 230506: please show the formula for solving: find all sets of four consecutive odd whole numbers whose sum is less than 38.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+2, x+4, & x+6 be the four numbers.
x+x+2+x+4+x+6<38
4x+12<38
4x<38-12
4x<26
x<26/4
x<6.5
All 4 sequential odd numbers less than 6.5 begin with: 1,3 & 5
Thus the answers are:
1,3,5,7 = 15 < 38
3,5,7,9 = 24 < 38
5,7,9,11 = 32 < 38
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7,9,11,13 =40 >38