i am a three digit number i am less than 200 i am divisible by 12 and by 9 my units digit is less than my tens digits
180?
I am a multiple of 7 and 3, my units digit is half my tens digit, what number am I
what is 675
To find the answer, we need to follow these steps:
Step 1: Start by determining the range of three-digit numbers less than 200. We know that the number is less than 200, so it could be any number from 100 to 199.
Step 2: From the given information, we know the number is divisible by 12 and 9.
Step 3: To find a number that is divisible by 12, we need to check if it is divisible by both 3 and 4. Since 12 is a multiple of both 3 and 4, any number divisible by 12 will also be divisible by 3 and 4.
Step 4: To find a number divisible by 9, we need to check if the sum of its digits is divisible by 9. If the sum of the digits is divisible by 9, the number itself will be divisible by 9.
Step 5: Now, we need to consider the condition that the units digit is smaller than the tens digit. This means the units digit must be less than the tens digit, but this does not help us narrow down the options further.
Step 6: Let's go ahead and find a number that satisfies all the conditions. We can start checking each three-digit number less than 200.
When we divide 108 by 12, we get a remainder of 0. Checking if it is divisible by 9, the sum of the digits (1 + 0 + 8 = 9) is divisible by 9.
Therefore, one possible answer is 108, which satisfies all the given conditions: it is less than 200, divisible by 12 and 9, and the units digit is less than the tens digit.