Question 345937
show why the following problem has no solution. find 3 consecutive odd whole numbers whose sum is 102.


Let 1st number be F


Then the other 2 consecutive odd numbers are: F + 2 and F + 4


Since their sum is 102, then we'll have: F + F + 2 + F + 4 = 102


3F + 6 = 102


3F = 96


F = {{{96/3}}} = 32


This means that the 1st ODD NUMBER is 32, but because 32 is NOT an odd number but an EVEN NUMBER instead, there is NO solution. 


As such, NO 3 WHOLE CONSECUTIVE ODD NUMBERS sum to 102.