SOLUTION: If the average (arithmetic mean) of three numbers is 6, and the sum of the two larger numbers is 16, what is the value of the smallest number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: If the average (arithmetic mean) of three numbers is 6, and the sum of the two larger numbers is 16, what is the value of the smallest number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 643791: If the average (arithmetic mean) of three numbers is 6, and the sum of the two larger numbers is 16, what is the value of the smallest number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the average (arithmetic mean) of three numbers is 6, and the sum
of the two larger numbers is 16, what is the value of the smallest number?
:
3 numbers, a, b, c, (c is the smallest)
write an equation for each statement
:
%28a%2Bb%2Bc%29%2F3 = 6
multiply both sides by 3
a + b + c = 18
a + b + 0 = 16; (the 2nd statement)
------------------subtraction eliminates a and b, find c
c = 2 is the smallest number