Discover new information and get your questions answered with IDNLearn.com. Ask anything and receive well-informed answers from our community of experienced professionals.

If a number is divided by 3, the remainder is 0. If the number is divided by 5, the remainder is 4. If the number is divided by 11, the remainder is 7. The number has two digits. What is teh number?

Sagot :

Answer:

Let's analyze the problem:

* The number is divisible by 3.

* When divided by 5, it leaves a remainder of 4.

* When divided by 11, it leaves a remainder of 7.

Understanding the problem:

To find the number, we need to find a number that satisfies all three conditions. We can approach this systematically.

Solution:

* Divisible by 3: The number must be a multiple of 3.

* Possible two-digit multiples of 3 are: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

* Remainder of 4 when divided by 5:

* We can eliminate numbers from the list that don't leave a remainder of 4 when divided by 5.

* This leaves us with: 24, 39, 64, 79, 94.

* Remainder of 7 when divided by 11:

* Now, we check the remaining numbers to see which one leaves a remainder of 7 when divided by 11.

* Only 79 satisfies this condition.

Therefore, the number is 79.

To verify:

* 79 divided by 3 gives a remainder of 0.

* 79 divided by 5 gives a remainder of 4.

* 79 divided by 11 gives a remainder of 7.

So, the answer is correct.

Would you like to try another problem?