Two numbers when divided by a certain divisor leave remainders of 271 and 159 respectively. When the sum of these two numbers is divided by the same divisor the remainder what is the divisor?

Two numbers when divided by a certain divisor leave remainders of 271 and 159 respectively. When the sum of these two numbers is divided by the same divisor the remainder what is the divisor?

A 205

B 237

C 283

D 258

Solution

Correct Answer: Option C

Let two numbers a and b

divisor = p

a = mp+271

b= np+15

a+b=p(m+n)+430

A.T.Q,

p+147 = 430

p = 283