Question

In a 3-digit number, the hundreds digit is 4 more than the units digit, and the tens digit is 3 less than the sum of the other two digits. If the sum of the three digits is 17, what is every digit? Then write the full number

Answer 1

The units digit is 4, the tens digit is 5, and the hundreds digit is 8. The full number is 854.

Step-by-step explanation:

Let's assume the units digit as x. According to the given information, the hundreds digit is 4 more than the units digit, so the hundreds digit would be x + 4. Additionally, the tens digit is 3 less than the sum of the other two digits, which means it would be x + 4 - 3 = x + 1.

Since the sum of the three digits is 17, we can set up the equation: x + (x + 1) + (x + 4) = 17.

Simplifying the equation, we get 3x + 5 = 17. Subtracting 5 from both sides gives us 3x = 12, and dividing by 3 gives x = 4.

Therefore, the units digit is 4, the tens digit is 5, and the hundreds digit is 8. So the full number is 854.