Question

If two numbers when divided by a certain divisor give remainders 35 and 30 respectively and when their sum is divided by the same divisor , the remainder is 20, then the divisor is

A) 40
B) 45
C) 50
D) 55

Answer 1

Answer:

(B) 45

Step-by-step explanation:

Let the certain divisor be x and quotients obtained in two cases are y and z leaving remainders 30 and 35 So first number is x(y) +30 and second number is x(z) +35 Hence sum of these two numbers is x(y+z) +65 . 65 when divided by x leaves remainder 20 so

x => 65-20

=> 45