use the digits 3,5 and 7 to make two three-digit number with the greates possible sum.
753 + 735
753
+735
To find the two three-digit numbers with the greatest possible sum using the digits 3, 5, and 7, we can use the strategy of placing the largest digits in the highest place values. Here's how you can do it:
1. Start by considering the hundreds place. Since we want the largest possible sum, we want to use the largest digit, which is 7.
Assign the digit 7 to the hundreds place in one of the numbers.
2. Now, we have two options left for the tens-place and ones-place: 3 and 5.
Assign the larger of the two remaining digits, which is 5, to the tens place.
Assign the remaining digit, which is 3, to the ones-place.
3. So far, we have one of the three-digit numbers as 753.
4. Now, for the second three-digit number, choose the remaining two digits in reverse order to maintain the highest possible sum.
Assign the digit 3, which is the smaller remaining digit, to the hundreds place.
Assign the digit 5, which is the remaining digit, to the tens-place.
Assign the remaining digit, which is 7, to the ones-place.
5. The second three-digit number is 357.
6. Now, calculate the sum of these two three-digit numbers to find the greatest possible sum:
753 + 357 = 1110.
Therefore, the two three-digit numbers with the greatest possible sum using the digits 3, 5, and 7 are 753 and 357, with a sum of 1110.