Answer:

The largest number is 13

Step-by-step explanation:

Here, we want to find the largest number which divides 60 and 75 to leave remainders 8 and 10 respectively

What this means is that we are looking for numbers such that when we divide 60 by it, we get remainder 8 and when we divide 75 by it, we get remainder 10

For 60;

The number is 13 for 60

This is because, since we are looking at leaving remainder 8, that means the actual figure we are looking at is 60-8 = 52

13 is actually the biggest factor of 52 in this case

For 75;

we are looking at remainder 10; take this away from 75, that will be 75-10 = 65

Also the factor here is 13 because 13 * 5 = 65 and we are 10 units away from 75