i am a 9-digit number. I have 5 in my hundred thousands place. The digit in my thousands place is 3 more than the digit in my hundred thousands place. The digit in my ten millions place is the sum of the digits in my hundred millions and hundred thousands places. The rest of the digits are zeroes. what number am i?
From the information...
X (X+5) 0 5 0 8 0 0 0
So X could be either 1,2,3, or 4
e.g. let x=1
160 508 000 , satifies your description
..
..
let x=4
490 508 000 , satisfies your description
so there are 4 such numbers, you find the other two.
5,128,000
To find the 9-digit number, let's break down the given conditions step by step:
1. "I have 5 in my hundred thousands place": Since we know that the hundred thousands place has the digit 5, it means our number will be something_5_____.
2. "The digit in my thousands place is 3 more than the digit in my hundred thousands place": The digit in the thousands place is 3 more than the digit in the hundred thousands place, which means the digit in the thousands place will be 5 + 3 = 8. Our number now looks like something_5_8___.
3. "The digit in my ten millions place is the sum of the digits in my hundred millions and hundred thousands places": The only digit we have remaining to determine is the ten millions place digit. According to the given condition, the digit in the ten millions place is the sum of the digits in the hundred millions and the hundred thousands places. Since the digits in these places are both 5, their sum is 5 + 5 = 10. Our number now becomes something_5_8__10.
4. "The rest of the digits are zeroes": The remaining digits in the number are all zeroes. Adding them to our number, it becomes something_5_8_0010.
Putting all the pieces together, the 9-digit number is 5000810010.