i am a number greater than 40,000 and less than 60,000 my ones digit and tens digits are the same. my ten thousands digit is 1 less tha 3 times the sum of my ones digit and tens digit my thousands digit is half my hundred digit, and the sum of those two digit is 9
yeah........ answer= 53611
Lets let the one digit/ ten digit = "a"
Ten thousand digit must be 4 or 5 (between 40001 and 59999)
Ten thousand digit = 3(a+a) -1
= 3(2a) -1
= 6a-1
Try 4
4= 6a -1
5 = 6a
5/6 = a
a= not an integer
Try 5
5= 6a-1
6=6a
a=1
Thousand digit = Hundreds digit / 2
Thousand digit + Hundreds digit = 9
Thousand digit = 3
Hundreds digit = 6
Answer = 53611
78 553
Larger than 3 million iam less than 3 1/2 million my largest digit is my ten thousands digit iam multiple of 5 who am i
1+1=2
To solve this problem, we'll translate the given information into equations and then solve them step by step.
Let's start by assigning variables to each digit in the number:
Let:
- Ten thousands digit: X
- Thousands digit: Y
- Hundreds digit: Z
- Tens digit: Y (as mentioned in the problem)
- Ones digit: Y (as mentioned in the problem)
According to the given information:
1. "I am a number greater than 40,000 and less than 60,000"
This means that X can only be 4.
2. "My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit"
This can be written as: X = 3 * (Y + Y) - 1
3. "My thousands digit is half my hundred digit, and the sum of those two digits is 9"
This can be written as: Y = Z/2, and Y + Z = 9
Now, let's solve the equations:
From equation 2: X = 3 * (Y + Y) - 1
Substituting Y = Z/2 from equation 3: X = 3 * (Z/2 + Z/2) - 1
Simplifying: X = 3Z - 1 [Equation A]
From equation 3: Y + Z = 9
Substituting Y = Z/2 from equation 3: Z/2 + Z = 9
Simplifying: (3/2)Z = 9
Z = 6 [Equation B]
Substituting Z = 6 in equation A: X = 3(6) - 1
Simplifying: X = 17
Therefore, the number is 17,6,6,6,6 or, in numerical form, 46,666.
So, the number greater than 40,000 and less than 60,000, where the ones and tens digits are the same, the ten thousands digit is 1 less than 3 times the sum of the ones and tens digits, the thousands digit is half the hundreds digit, and the sum of the thousands and hundreds digits is 9, is 46,666.