3 digit number, divisible buy 5, odd number, product of the digits is 15, sum of digits is less than 10 and less than 12by12

Area of the dinning space=400¡Á300=120000cm2

Area of one tile=5¡Á8=40cm2
Number of tiles required=120000/40=3000tiles

Solve step by step.

Given a 3-digit number.
1.
If it is divisible by 5, it must end with a 0 or a 5.
2.
If the number is odd, the last digit must be 5.
3. if product of digits is 15, the product of the two remaining digits must be 15/5=3, namely either 1,3 or 3,1.
I.e. the number must be 135 or 531.
4.
Sum of digits < 10.
5+3+1<10, so ok.
5.
Last step to find the number:
the number is less than 12by12=144.

I'll let you finish off the problem by working on step 5.
number is less

"divisible buy 5, odd number"

means it must end in 5
since the product is 15, the product of the other two must be 3
so the two other numbers must be 1 and 3

possible numbers:
135 or 315
but it is less than 144, so ....

135

To find a 3-digit number that meets all the given conditions, we can follow these steps:

Step 1: Start by listing the odd numbers between 100 and 999.
- We can skip all the even numbers since we need an odd number.
- The odd numbers between 100 and 999 are: 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, ... and so on.

Step 2: Find the numbers among the list that are divisible by 5.
- We can go through the list and check for numbers that end with 0 or 5 to determine if they are divisible by 5.

Step 3: Calculate the product of the digits of each divisible number and check if it equals 15.
- Multiply the individual digits of each number and check if the result is 15.

Step 4: Filter the numbers that have a sum of digits less than 10 and less than 12 by 12.
- Add the individual digits of each number and check if the sum is less than 10.
- Check if the sum of the digits is less than 12 modulo 12.

By following these steps, you can find the 3-digit number that meets all the given conditions.