1. I am a six digit number. Value in ten thousands place is "0". Face value of digit at lakh place is 1. I have 5 in my tens place. One's digit is 5 less than tens place digit... Digit at thousands place is the largest one digit number. Sum of all digits is 24.
It would help if you proofread your questions before you posted them, e.g., "lakh".
So far, I have -09,-50
well, the largest one digit number is 9
so start there.
To find the six-digit number that satisfies these conditions, we can follow a step-by-step process:
Step 1: Identify the known information:
- Value in the ten thousandth place is "0".
- Face value of the digit at the lakh place is 1.
- The tens place digit is 5.
- The ones place digit is 5 less than the tens place digit.
- The digit at the thousands place is the largest one-digit number, which is 9.
- The sum of all digits is 24.
Step 2: Determine the missing information:
- We need to find the value of the digit at the units place (ones place) and the digit at the hundred thousands place.
Step 3: Calculate the digit at the units place:
Since the sum of all the digits is 24, and we already know the values of the other digits, we can calculate the digit at the units place as follows:
Sum of all digits - (Value in the ten thousandth place + Face value of digit at lakh place + Tens place digit + Digit at the thousands place) = Digit at the units place.
24 - (0 + 1 + 5 + 9) = 24 - 15 = 9.
Step 4: Calculate the digit at the hundred thousands place:
Since the sum of all the digits is 24, and we already know the values of the other digits, we can calculate the digit at the hundred thousands place as follows:
Sum of all digits - (Value in the ten thousandth place + Face value of digit at lakh place + Tens place digit + Digit at the units place + Digit at the thousands place) = Digit at the hundred thousands place.
24 - (0 + 1 + 5 + 9 + 9) = 24 - 24 = 0.
Step 5: Put all the digits together to form the six-digit number:
Based on the given information and the calculations made, the six-digit number that satisfies all the conditions is: 109,590.