Determine the digits of Y from these clues.
The digits of Y add to 18.
The first digit is 3 times the third digit.
The second digit is 2 times the third digit.
Y is a three digit number.
_ _ _
First: 9, 6, or 3
Third: 3, 2, or 1
Second: 6, 4, or 2
Which combination adds up to 18?
The correct answer is: 963
963
To determine the digits of Y, let's go step by step using the given clues.
1. The digits of Y add to 18.
Since Y is a three-digit number, it can be represented as ABC, where A is the first digit, B is the second digit, and C is the third digit.
According to the clue, A + B + C = 18.
2. The first digit is 3 times the third digit.
This means A = 3C.
3. The second digit is 2 times the third digit.
This means B = 2C.
Now, we have three equations:
A + B + C = 18 (Equation 1)
A = 3C (Equation 2)
B = 2C (Equation 3)
Let's substitute the values of A and B from Equations 2 and 3 into Equation 1.
3C + 2C + C = 18
Combining like terms,
6C = 18
Dividing both sides of the equation by 6,
C = 3
Now that we know C is 3, we can substitute this value back into Equations 2 and 3 to find the values of A and B.
A = 3C = 3(3) = 9
B = 2C = 2(3) = 6
Therefore, the digits of Y are 9, 6, and 3.