Question

if 75118 is divided by a divisor, remainder respectively come as 49,23 and 4.what is the divisor​

Answer 1

Answer:

40

Step-by-step explanation:

Answer:Let the number is N , divisor is d and a is the quotient

Then N=ad+5

N-5=ad……………….(1)

Let N=2d*b+45

N-45=2bd………………….(2)

Subtracting(2) from(1)

40 =(a-2b)*d

Thus d is a divisor of 40

so d=2,4,5,8,10 ,20 or 40………….(3)

Now divisor is always greater than remainder and remainder is 45

when N is divided by 2d

so 2d > 45

d > 22.5………………(4)

Thus from (3) and (4) we conclude that d=40

Thus divisor d=40