The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively is? Please I need an answer with a full exp

Question

1 month ago

10

lanation. The first answer will be marked brainiest

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-02-16T20:08:13+03:00

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.