I am a 4-digit number.The digit in the thousands place is 4.The digit in the hundreds place is half the digit in the thousands place.The digit in the tens place is thrice the digit in the hundreds place.The 4 digits add up to 19.What number am I?
Question
I am a 4-digit number.The digit in the thousands place is 4.The digit in the hundreds place is half the digit in the thousands place.The digit in the tens place is thrice the digit in the hundreds place.The 4 digits add up to 19.What number am I?
Solution
Let's break down the clues:
- The digit in the thousands place is 4.
- The digit in the hundreds place is half the digit in the thousands place, which is 2 (half of 4).
- The digit in the tens place is thrice the digit in the hundreds place, which is 6 (3 times 2).
- The sum of all digits is 19.
So far, we have the number 426_.
To find the last digit, we subtract the sum of the known digits from 19. That is, 19 - 4 - 2 - 6 = 7.
So, the number is 4267.
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