SOLUTION: I can't figure out how to get the answer to this question: Find one possible value for k such as k is an integer between 20 and 40 that has a remainder of 2 when it is divisible by

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: I can't figure out how to get the answer to this question: Find one possible value for k such as k is an integer between 20 and 40 that has a remainder of 2 when it is divisible by      Log On


   



Question 422157: I can't figure out how to get the answer to this question: Find one possible value for k such as k is an integer between 20 and 40 that has a remainder of 2 when it is divisible by 3 and that has a remainder of 2 when divided by 4.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find one possible value for k such as k is an integer between 20 and 40 that has
a remainder of 2 when it is divisible by 3
and that has a remainder of 2 when divided by 4.
:
%28k-2%29%2F3 and %28k-2%29%2F4 have integer quotients
:
We know that (k-2) = a common multiple of 3 and 4 between 20 and 40
Only two values, fit 24 and 36
therefore: k = 26 or k = 38