Question

12. Find the largest number that will divide 20, 57 and
85 leaving remainders 2, 3 and 4, respectively. (3)​

Answer 1

Answer:

9

Step-by-step explanation:

Just subract the given reminder with the respective number

20 - 2 = 18

57 - 3 = 54

85 - 4 = 81

Now find the HCF of 18, 54, 81 which is 9

So the number is 9

Answer 2

Answer:

The largest number that will divide 20, 57, 85 leaving remainders 2, 3, 4 respectively is 9

Step-by-step explanation:

Subtract the remainder  

20 - 2 = 18  

57 - 3 = 54

85 - 4 = 81

 

Therefore, required answer = H.C.F. of 18, 54, 81  

9 is the answer.