What is the value of the divisor?

Question

When 242 is divided by a certain divisor the remainder obtained is 8. When 698is divided by the same divisor the remainder obtained is 9. However, when thesum of the two numbers 242 and 698 is divided by the divisor, the remainderobtained is 4. What is the value of the divisor?

ritu goyal · Accepted Answer

Let the divisor be d.When 242 is divided by thedivisor, let the quotient be 'x' and we know that the remainder is8.Therefore, 242 = xd + 8Similarly, let y be the quotient when 698is divided by d.Then, 698 = yd + 9.242 + 698 = 940 = xd + yd + 8 +9940 = xd + yd + 17As xd and yd are divisible by d, the remainder when940 is divided by d should have been 17.However, as the question statesthat the remainder is 4, it would be possible only when Remainders, divisionleaves a remainder of 4.If the remainder obtained is 4 when 17 isdivided by d, then d has to be 13.

Magical Mathematics[Interesting Approach]> What is the value of the divisor?...

When 242 is divided by a certain divisor the remainder obtained is 8. When 698is divided by the same divisor the remainder obtained is 9. However, when thesum of the two numbers 242 and 698 is divided by the divisor, the remainderobtained is 4. What is the value of the divisor?

ravi singh , 15 Years ago

ritu goyal

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Magical Mathematics[Interesting Approach]> What is the value of the divisor?...

When 242 is divided by a certain divisor the remainder obtained is 8. When 698is divided by the same divisor the remainder obtained is 9. However, when thesum of the two numbers 242 and 698 is divided by the divisor, the remainderobtained is 4. What is the value of the divisor?

ravi singh , 15 Years ago

ritu goyal

Provide a better Answer & Earn Cool Goodies

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Ask a Doubt

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