What is the three digit mystery number? It is less than 300. The tens digit is 4 more than the hundreds digit. The sum of the digit is 9. The hundreds digit is 2 less than the ones digit.
Hundreds digit: 1 or 2
Tens digit: 5 or 6
Ones digit: 3 or 4
Take it from there.
this nuhunmber has vfie in the dreds place
291
To find the three-digit mystery number, let's break down the given information step by step:
1. It is less than 300: This means the mystery number is any three-digit number less than 300.
2. The tens digit is 4 more than the hundreds digit: Let's represent the hundreds digit as x. Then, the tens digit would be x + 4.
3. The sum of the digits is 9: The three digits of the mystery number add up to 9. Let's represent the ones digit as y. The sum of all three digits would be x + (x + 4) + y, which should be equal to 9.
4. The hundreds digit is 2 less than the ones digit: This means x = y - 2.
Now, let's combine all the information we have to solve for the mystery number:
From point 3, we have the equation x + (x + 4) + y = 9.
Substituting x = y - 2 from point 4 into the equation above, we get (y - 2) + ((y - 2) + 4) + y = 9.
Simplifying this equation, we have 3y = 9.
Dividing both sides of the equation by 3, we find y = 3.
Substituting y = 3 into the equation x = y - 2, we find x = 3 - 2 = 1.
So, the hundreds digit is 1, the tens digit is 1 + 4 = 5, and the ones digit is 3.
Therefore, the mystery number is 151.