i am a 4 digit number between 3000 and 4000.My ones digit is twice my thousands digit.My hundreds digit is the same as my ones digit and my tens digit is one less than the hundreds digit.If the sum of my digit is twenty,what number am i?
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"i am a 4 digit number between 3000 and 4000."
So the number must be
3xxx
"My ones digit is twice my thousands digit."
so it must be
3xx6
"My hundreds digit is the same as my ones digit"
so it must be
36x6
"my tens digit is one less than the hundreds digit"
so it must be
3656
To find the number, we can start by analyzing the given information and applying some logical deductions.
Let's use the following variables to represent the digits of the number:
Thousand's digit = x
Hundred's digit = y
Tens digit = z
Ones digit = w
According to the given information:
1. The number is between 3000 and 4000. Since the Thousand's digit is x, it must be 3.
2. The ones digit is twice the Thousand's digit. So, w = 2x = 2 * 3 = 6.
3. The Hundred's digit is the same as the ones digit. So, y = w = 6.
4. The tens digit is one less than the Hundred's digit. So, z = y - 1 = 6 - 1 = 5.
5. The sum of all the digits is 20. Therefore, x + y + z + w = 3 + 6 + 5 + 6 = 20.
Now, let's substitute the values we just found into the number: 3xyw.
Therefore, the number is 3656.