math

posted by .

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

Similar Questions

1. math

What is the lowest numberthat has a remainder of 1 when divided by 2 and a remainder of 2 when devided by 3 and a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5?
2. Math

what is a number that divied by 3 has a remainder of 2 also that smae number divided by 4 has a remainder 3 and that same number divided by 5 has a remainder of 4
3. math

what is the least common positive integer that meets the following conditions: divided by 7 with remainder 4 divided by 8 with remainder 5 divided by 9 with remainder 6 i thought you could add 7 and 4 to get 13, then divide 13 and …
4. math

what is the least common positive integer that meets the following conditions: divided by 7 with remainder 4 divided by 8 with remainder 5 divided by 9 with remainder 6 i thought you could add 7 and 4 to get 13, then divide 13 and …
5. Math

Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11. Using the Chinese Remainder Theorem.
6. Math

How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?
7. math

Julie has a mystery number. When she divides the mystery number by 5, the remainder is 1 When she divides the mystery number by 6 the remainder is 4 When she didvides the mystery number by 7 the remainder is 6 What is the smallest …
8. Math

How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?