Sean's older brother is 16 years old. He runs between 15 and 25 miles each week. The sum of the digits of the total number of miles that he ran last week is eight less than his age. How many miles did Sean run last week?
16 - 8 = 8
Which of these sets of digits equals 8?
16, 17, 18, 29, 20, 21, 22, 23, 24
17
Yep.
To find out how many miles Sean ran last week, we need to first calculate the total number of miles that Sean's older brother ran.
Let's consider the range of miles he runs each week, which is between 15 and 25 miles. Since we don't have an exact value, we need to consider both ends of the range.
If he ran only 15 miles last week, the sum of the digits (1 + 5) is 6, which is eight less than his age of 16. However, if he ran 25 miles, the sum of the digits (2 + 5) is 7, which is not eight less than his age.
Therefore, it is not possible for Sean's older brother to have run either 15 or 25 miles last week.
Hence, we cannot determine the exact number of miles Sean ran last week based on the information provided.