Monday

April 21, 2014

April 21, 2014

Posted by **Eleana M** on Tuesday, February 1, 2011 at 6:20pm.

- Math -
**MathMate**, Tuesday, February 1, 2011 at 8:00pmYou are looking for the smallest number N that satisfies

N mod 4 = 2, ....(1)

N mod 5 = 1 .....(2)

Since N mod 4 = 2 can only be satisfied by an even number, N can only be a number that ends in the digit 6 if (2) is to be satisfied.

Since it is over 10, and 16 does not satisfy (1), we choose 26 as the smallest number over 10 that satisfies the two given conditions.

For a formal treatment of this class of problems, look up the "Chinese remainder theorem".

**Related Questions**

3rd grade - Mazie counted her dimes. When she put them in groups of 4, she had 2...

Math - Maize counted her dime.when she put them in groups of 4 ,she had two ...

algebra - a farmer is taking her eggs to market in her cart, but she hits a ...

Math - Equal groups riddle. I am a number between 20 and 30. When you put me ...

Math - I'm having alot of problems with the problem. I don't want the answer but...

math - I am a 2-digit number over 50. When you put me in groups of 7, two are ...

Equal-Groups Riddles - I am a number between 20 and 30. When you put me into 6 ...

math - If you put me into 7 equal groups with 3 in each group and 5 left over,, ...

math - if you put me into 7 equeal groups with 3 in each group and 5 are left ...

4th grade - i am a two-digit number over 50. when you put me in groups of seven...