In a three-digit number, the digit in the hundredth place is 2 more than the digit in the tenth place and the digit in the unit's place is 2 less than the digit in the tenth place. If the sum of the digits is 18, find the number.Choices:- 884 864 684 642
Question
In a three-digit number, the digit in the hundredth place is 2 more than the digit in the tenth place and the digit in the unit's place is 2 less than the digit in the tenth place. If the sum of the digits is 18, find the number.Choices:- 884 864 684 642
Solution
Let's denote the digit in the hundredth place as H, the digit in the tenth place as T, and the digit in the unit's place as U.
From the problem, we know that:
- H = T + 2
- U = T - 2
- H + T + U = 18
We can substitute the first two equations into the third to get:
(T + 2) + T + (T - 2) = 18 3T = 18 T = 18 / 3 = 6
Substituting T = 6 into the first two equations, we get:
H = 6 + 2 = 8 U = 6 - 2 = 4
So, the number is 864. Therefore, the correct choice is 864.
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