the number of photos taken is a two-digit number. the sum of the number is 11. The tens digit is 3 more than the ones digit. How many photos were taken
Numbers that add up to 11:
29, 38, 47, 56, 65, 74, 83, 92
tens digit + ones digit = 11
tens digit = 3 + ones digit
t + x = 11
t = 3 + x
substitute: 3 + x + x =11
3 + 2x = 11
Solve for x which represents the one's digit. Then find the tens digit.
47
To find the number of photos taken, we need to find a two-digit number where the sum of its digits is 11, and the tens digit is 3 more than the ones digit.
Let's consider the possibilities for the tens digit and ones digit combinations:
- Tens digit = 1, Ones digit = 10 - This is not possible because the ones digit cannot be greater than 9.
- Tens digit = 2, Ones digit = 9 - This combination doesn't work because the sum of the digits would be 2 + 9 = 11, but the tens digit is not 3 more than the ones digit.
- Tens digit = 3, Ones digit = 8 - This combination satisfies the given conditions because the sum of the digits is 3 + 8 = 11, and the tens digit (3) is 3 more than the ones digit (8).
Therefore, the number of photos taken is 38.