Question 969410: HoW does the sum of any three odd number given (1,3,5,7,9,11,13,15) should be equal to 30 ?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let the first odd number be equal x.
then the second odd number is equal to x + 2.
then the third odd number is equal to x + 4.
the sum of these 3 odd number sis equla to 30.
you get x + x + 2 + x + 4 = 30
combine like terms to get 3x + 6 = 30
subtract 6 from both sides to get 3x = 24.
divide both sides by 3 to get x = 8.
the 3 numbers are 8, 10, 12.
their sum is equal to 30.
the numbers are even.
you cannot get the sum of 3 odd numbers to be equal to an even number.
if you think about it, the sum of 2 odd number is an even number.
1+1 = 3
3+3 = 6
1+3 = 4
add another odd number to an even number and the result is odd.
30 is not an odd number.
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