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Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by?
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Two numbers when divided by a certain divisor gives remainders 13 & 9 ...
Given Information:
- Two numbers give remainders 13 and 9 respectively when divided by a certain divisor.
- When the sum of these two numbers is divided by the same divisor, the remainder is 3.
To Find:
- The divisor.
Solution:
Let's denote:
- The divisor as D.
- The two numbers as A and B.
Expressing the given information:
- A = Dx + 13 (where x is an integer)
- B = Dy + 9 (where y is an integer)
- (A + B) = Dz + 3 (where z is an integer)
Expressing the sum of A and B:
- A + B = Dx + 13 + Dy + 9
- A + B = D(x + y) + 22
Expressing the given information about the sum:
- D(x + y) + 22 = Dz + 3
- D(x + y) = Dz - 19
Since the divisor D will divide (A + B) with a remainder of 3:
- D(x + y) = Dz - 19 = Dk + 3
- D(z - k) = 22
- D must be a divisor of 22.
Therefore, the possible values for the divisor D are:
- 1, 2, 11, 22
Conclusion:
- The divisor can be 1, 2, 11, or 22.
- Two numbers give remainders 13 and 9 respectively when divided by a certain divisor.
- When the sum of these two numbers is divided by the same divisor, the remainder is 3.
To Find:
- The divisor.
Solution:
Let's denote:
- The divisor as D.
- The two numbers as A and B.
Expressing the given information:
- A = Dx + 13 (where x is an integer)
- B = Dy + 9 (where y is an integer)
- (A + B) = Dz + 3 (where z is an integer)
Expressing the sum of A and B:
- A + B = Dx + 13 + Dy + 9
- A + B = D(x + y) + 22
Expressing the given information about the sum:
- D(x + y) + 22 = Dz + 3
- D(x + y) = Dz - 19
Since the divisor D will divide (A + B) with a remainder of 3:
- D(x + y) = Dz - 19 = Dk + 3
- D(z - k) = 22
- D must be a divisor of 22.
Therefore, the possible values for the divisor D are:
- 1, 2, 11, 22
Conclusion:
- The divisor can be 1, 2, 11, or 22.
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Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by?
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Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by?.
Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers when divided by a certain divisor gives remainders 13 & 9 respectively then their sum is divided by same divisor the remainder is 3 the divisor is give by?.
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