Question

Logan and Mason are playing a video game. The number of points that Logan has is greater than 300,000 but less than 400,000. There is an 8 in the ten thousands and the hundreds place. The digit in the thousands place is half the digit in the ones place. The digit in the tens place is 4 more than the hundred thousands place. The sum of all the digits is 32. How many points does Logan have?

Answer 1

Let's break down the clues to find the number of points Logan has:

1. The number of points is greater than 300,000 but less than 400,000.
2. There is an 8 in the ten thousands and the hundreds place.
3. The digit in the thousands place is half the digit in the ones place.
4. The digit in the tens place is 4 more than the hundred thousands place.
5. The sum of all the digits is 32.

Based on these clues, we can deduce that the number of points Logan has is 384,852.

Answer 2

Explanation:

There's an 8 in the ten-thousands and hundreds place, indicating that these digits are 8.

The thousands place is half of an even number between 0 and 8, making it 4.

The digit in the tens place is 4 more than the hundred-thousands place. Since having a digit greater than 9 in any place for a 6-digit number is not possible, the tens place is 2.

The sum of all the digits is 32. Adding the known digits (3, 8, 2, 4) gives 17. Subtracting this from 32 gives 15 for the ones place.

Putting it all together, Logan has a total of 382,458 points in the video game.