Question

24. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is​

Answer 1

Given:

The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is?

To find:

The required number

Solution:

subtract the remainder 8 and 10 from 60 and 75 respectively:

60 - 8 = 52

75 - 10 = 65

finding the HCF of 52 and 65 using prime factorization:

52 = 2 x 2 x 13

65 = 5 x 13

HCF of 52 and 65 = 13

Hence, The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively is 13

Answer 2

ans=option d is correct =13