a three digit number with 8 ones and 4 tens. The sum of all my digits is 20. What number am i?
well, eight Plue 4 is 12, so the hundred digit must be 8
848 ?
848 8(ones) 4(tens)= 8+4=12+?=20
12+8=20
848
Let's solve this step by step.
Step 1: We know that the number has three digits.
Step 2: The number has 8 ones, so the digit in the ones place is 1.
Step 3: The number has 4 tens, so the digit in the tens place is 4.
Step 4: The sum of all the digits is 20.
Step 5: Let's assume the digit in the hundreds place is x.
Therefore, the number can be written as 100x + 40 + 1.
The sum of all the digits can be written as x + 4 + 1 = 20.
Simplifying the equation, we get:
x + 5 = 20.
Subtracting 5 from both sides:
x = 15.
So, the number is 100(15) + 40 + 1 = 1541.
Therefore, the number is 1541.
To find the three-digit number with 8 ones and 4 tens, we can follow these steps:
Step 1: Let's determine the value of the tens digit:
Since we have 4 tens, the value of the tens digit is 4 × 10 = 40.
Step 2: Now, let's calculate the value of the ones digit:
Since we have 8 ones, the value of the ones digit is 8 × 1 = 8.
Step 3: Next, we need to find the remaining digit, which is the hundreds digit.
Since the sum of all the digits is 20, we subtract the sum of the tens and ones digits from 20:
20 - (40 + 8) = 20 - 48 = -28
Step 4: Since we cannot have a negative value for the hundreds digit, we need to borrow 1 from the tens digit to balance the equation.
So, the tens digit becomes 4 - 1 = 3.
At this point, we have a negative value for the hundreds digit, which means we need to borrow another 1 from the tens digit.
Step 5: The tens digit now becomes 3 - 1 = 2.
And the hundreds digit becomes (-28) + 10 = -18.
Step 6: Finally, we have our three-digit number:
The hundreds digit is -18, the tens digit is 2, and the ones digit is 8.
Therefore, the number you are is -182.