x = hundreds digit
y = tens digit
z = ones digit
x = z
X + Z + 8
2X + 8
X = 4 = Z
Y = Z -2= 4 -2 = 2
Answer: 424
804
The greatest 4-digit number with no repeated digits is... 9876
81
There is no such number. If the four digits are even, the entire number is even, not odd.
26.
I am a three digit number. all of my digit is multiples of 2. my hundreds digit is the lowest even number. the sum of my digits is 16. the units digit is the same as the difference between my hundreds and tens digits.
804
If the number formed by the last three digits is divisible by 8. This requires that: if the digit in the hundreds place is even, the last two digits must form a number divisible by 8 and if the digit in the hundreds place is odd, the last two digits must form a number divisible by 4 but not by 8.
To determine the number of positive integers less than 1000 with distinct digits and are even, we need to consider the possible combinations of digits. Since the number must be even, the last digit must be even, giving us 5 options (0, 2, 4, 6, 8). For the hundreds digit, we have 9 options (1-9), and for the tens digit, we have 8 options (0-9 excluding the hundreds digit and the last digit). Therefore, the total number of such integers is 5 * 9 * 8 = 360.
The greatest 4-digit number with no repeated digits is... 9876
The largest three-digit even number that can be formed using the digits 3, 4, and 5 is 543. To determine this, we need to consider the possible arrangements of the digits. Since we want to create an even number, the last digit must be 4. The largest possible number for the hundreds place is 5, and the remaining digit, 3, goes in the tens place. Therefore, the largest three-digit even number using the digits 3, 4, and 5 is 543.
81
There is no such number. If the four digits are even, the entire number is even, not odd.
99999999
2: The number ends in 0, 2, 4, 6 or 8 4 : The last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 8: The last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number 16: The last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number 32: The last 5 digits are a multiple of 32 The 10,000s digit is even and the last 4 digits are a multiple of 32 The 10,000s digit is odd and the last 4 digits are 16 times an odd number 64: The last 6 digits are a multiple of 64 The 100,000s digit is even and the last 5 digits are a multiple of 64 The 100,000s digit is odd and the last 5 digits are 32 times an odd number 128: The last 7 digits are a multiple of 128 The 1,000,000s digit is even and the last 6 digits are a multiple of 128 The 1,000,000s digit is odd and the last 6 digits are 64 times an odd number 256: The last 8 digits are a multiple of 256 The 10,000,000s digit is even and the last 7 digits are a multiple of 256 The 10,000,000s digit is odd and the last 7 digits are 128 times an odd number 512: The last 9 digits are a multiple of 512 The 100,000,000s digit is even and the last 8 digits are a multiple of 512 The 100,000,000s digit is odd and the last 8 digits are 256 times an odd number 1,024: The last 10 digits are a multiple of 1,024 The 1,000,000,000s digit is even and the last 9 digits are a multiple of 1,024 The 1,000,000,000s digit is odd and the last 9 digits are 512 times an odd number
754 Piece of cake!
26.