# math

posted by on .

my daughter needs help finding a mystery number.
1)when the mystery number is
divided by 3,there is a remainder
of 1.
but it has to be the same thing
over again with 4 remainder 2 and
5 remainder 4.And there is one more
what is the smallest number that
could be divided by the mystery
number.

• math - ,

"when the mystery number is
divided by 3,there is a remainder
of 1"

So, we know that the number must be 1, 4, 7, 10, etc. Each of those numbers n have the property that n modulus 3 = 1. (Modulus is the remainder when a natural number is divided by a natural number).

"n modulus 4 = 2"
This limits the numbers to 2, 6, 10, 14, etc. Note that this also means that the number is even.

"n modulus 5 = 4"
Similarly, this limits the numbers to 4, 9, 14, 19, etc. The number must be a multiple of 5 with 4 added to it.

Let us start with the last condition (as it has the greatest increase) and limit it to evens. Find the first number that satisfies the first two conditions.
4, 14, 24, 34

34 satisfies all the above conditions.

• math - ,

I DO NOT GET WHAT U GUYS ARE SAY BUT I KNOW THE ANSWER