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Select the correct answerWhen 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?Options23171311

Question

Select the correct answerWhen 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?Options23171311

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Solution

The problem can be solved by using the properties of remainders.

Step 1: The remainder when 242 is divided by the divisor is 8. This means that 242 - 8 = 234 is divisible by the divisor.

Step 2: The remainder when 698 is divided by the divisor is 9. This means that 698 - 9 = 689 is divisible by the divisor.

Step 3: The sum of the two numbers 242 and 698 is 940. The remainder when 940 is divided by the divisor is 4. This means that 940 - 4 = 936 is divisible by the divisor.

Step 4: The divisor must be a factor of 234, 689, and 936. The only number that is a factor of all three numbers is 17.

Therefore, the value of the divisor is 17.

This problem has been solved

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