The average of 6 integers is less than 30. If the average of the first 5 integers is 25, what is the greatest possible value of the 6th integer?

Question

anonymous · Answer

Sounds like an SAT question..  :-p

Do you know the formula for finding an average?

anonymous · Answer

no

anonymous · Answer

add up all the numbers then divide by how many u added

anonymous · Answer

oh ok

anonymous · Answer

also known as the mean :D

anonymous · Answer

@gaara438125 , exactly, so you can start with the first statement and say (using the letters a-f as the six integers)
$$\large \frac{a+b+c+d+e+f}{6}<30.$$

anonymous · Answer

ya  i know mean just not a formula

anonymous · Answer

(by 'formula' I really just meant, do you know how to do it, and how to write out the steps)

anonymous · Answer

Now, the second statement says
$$\large \frac{a+b+c+d+e}{5}=25.$$

See where to go from here, @evergirl ?

anonymous · Answer

I got 54

anonymous · Answer

That seems to check out. Good job!