the product of my three digits is 30. when you add my ones digit and tens digit together, the sum in my hundreds digit. my ones digit is 3. what number am I
A = 100s
B = 10s
C = 1s
A*B*C = 30
B+C = A
C=3
Solve simultaneously.
C is the answer
To find the number, we need to consider the given clues. Let's analyze the information one by one:
1. The product of the three digits is 30.
To have a product of 30, we can consider the following combinations:
- 1 * 1 * 30 (not valid since one of the digits must be 3)
- 1 * 2 * 15 (not valid since one of the digits must be 3)
- 1 * 3 * 10 (valid, as one of the digits is 3)
- 1 * 5 * 6 (valid, as one of the digits is 3)
- 2 * 3 * 5 (valid, as one of the digits is 3)
Therefore, we have three valid combinations: 1 * 3 * 10, 1 * 5 * 6, and 2 * 3 * 5.
2. When you add the ones digit and tens digit together, the sum is the hundreds digit.
If the ones digit is 3, the only combination that satisfies this condition is 2 * 3 * 5.
Here, the ones digit is 3 and the tens digit is 5. Adding these together gives us 8, which is equal to the hundreds digit.
Combining the information, the number you are is 235.