Answer:
The highest number is 13.
Step-by-step explanation:
We are tasked with finding the highest number that can divide both 60 and 75, yielding remainders of 8 and 10, respectively.
This signifies that we seek divisors such that, when dividing 60, we receive a remainder of 8, while dividing 75 yields a remainder of 10.
For 60:
In this case, the number turns out to be 13 for 60.
This arises because we need a remainder of 8, which transforms our focus to 60 - 8 = 52.
Thus, 13 serves as the largest divisor of 52 in this scenario.
For 75:
We consider a remainder of 10; deducting this from 75 gives us 75 - 10 = 65.
Again, 13 appears here because 13 multiplied by 5 equals 65, and we are 10 units below 75.