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
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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
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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