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I am a 4-digit number.The digit in the thousands place is 2.The digit in the hundreds place is thrice the digit in the thousands place.The digit in the tens place is half the digit in the hundreds place.The 4 digits add up to 15.What number am I?

Question

I am a 4-digit number.The digit in the thousands place is 2.The digit in the hundreds place is thrice the digit in the thousands place.The digit in the tens place is half the digit in the hundreds place.The 4 digits add up to 15.What number am I?

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Solution

Let's break down the problem:

  1. The number is a 4-digit number.
  2. The digit in the thousands place is 2.
  3. The digit in the hundreds place is thrice the digit in the thousands place, which means it is 2*3 = 6.
  4. The digit in the tens place is half the digit in the hundreds place, which means it is 6/2 = 3.
  5. The sum of the digits is 15. We already have three of the digits, which add up to 2 + 6 + 3 = 11. So, the digit in the ones place must be 15 - 11 = 4.

Therefore, the number is 2634.

This problem has been solved

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