Question

what number has 1 ten thousand, 2 more thousands than ten thousands, 1 fewer hundred than thousands, the same number of tens as thousands, and 2 more ones than thousands?

Explanation:

Step1: Determine the ten - thousand place

The number of ten - thousands is 1. So the digit in the ten - thousand place is 1.

Step2: Determine the thousand place

We know that the number of thousands is 2 more than the number of ten - thousands. Since the number of ten - thousands is 1, the number of thousands is \(1 + 2=3\). So the digit in the thousand place is 3.

Step3: Determine the hundred place

The number of hundreds is 1 fewer than the number of thousands. Since the number of thousands is 3, the number of hundreds is \(3- 1 = 2\). So the digit in the hundred place is 2.

Step4: Determine the ten place

The number of tens is the same as the number of thousands. Since the number of thousands is 3, the number of tens is 3. So the digit in the ten place is 3.

Step5: Determine the one place

The number of ones is 2 more than the number of thousands. Since the number of thousands is 3, the number of ones is \(3 + 2=5\). So the digit in the one place is 5.

Now, we combine the digits from the ten - thousand place to the one place: 1 (ten - thousand), 3 (thousand), 2 (hundred), 3 (ten), 5 (one). So the number is \(1\times10000+3\times1000 + 2\times100+3\times10 + 5\times1=10000 + 3000+200 + 30+5 = 13235\).

Answer:

13235