SSC CGL Exam > SSC CGL Questions > A, B, C, D are four friends. Average age of A...
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A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.
- a)20, 30, 40, 50
- b)20, 25, 30, 35
- c)30, 35, 40, 45
- d)30, 40, 50, 60
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A, B, C, D are four friends. Average age of A and C is 35 years and th...
Given information:
- Average age of A and C is 35 years.
- Average age of B and D is 40 years.
- Average age of B, C, and D is 40 years.
- Sum of ages of A and D is equal to that of B and C.
Let's assume the ages of A, B, C, and D as a, b, c, and d respectively.
Calculation:
1. From the given information, we can form two equations:
- (a + c)/2 = 35 (Equation 1)
- (b + d)/2 = 40 (Equation 2)
2. Also, we know that the sum of ages of A and D is equal to that of B and C:
- a + d = b + c (Equation 3)
3. We can simplify Equation 1 and Equation 2 to get:
- a + c = 70 (Equation 4)
- b + d = 80 (Equation 5)
4. Adding Equation 4 and Equation 5, we get:
- a + b + c + d = 150 (Equation 6)
5. Using Equation 3, we can express d in terms of a, b, and c:
- d = (b + c) - a (Equation 7)
6. Substituting Equation 7 in Equation 2, we get:
- (b + c - a + b)/2 = 40
- 2b + 2c - 2a = 80
- b + c - a = 40 (Equation 8)
7. Adding Equation 4 and Equation 8, we get:
- a + b + c = 110 (Equation 9)
8. Using Equation 6 and Equation 9, we can find the values of a, b, c, and d:
- a + b + c + d = 150
- a + b + c + (b + c - a) = 150 (Substituting Equation 7)
- 2b + 2c = 150
- b + c = 75
- a = 35 - c (Substituting Equation 1)
- d = 40 - b (Substituting Equation 2)
- a + (40 - b) = b + c
- 35 - c + 40 - b = b + c
- 75 - b - c = 35
- b + c = 40
- Substituting b + c = 75 and b + c = 40, we get:
- b = 17.5
- c = 22.5
- a = 12.5
- d = 37.5
Therefore, the ages of A, B, C, and D are 12.5, 17.5, 22.5, and 37.5 respectively. Hence, option C is the correct answer.
- Average age of A and C is 35 years.
- Average age of B and D is 40 years.
- Average age of B, C, and D is 40 years.
- Sum of ages of A and D is equal to that of B and C.
Let's assume the ages of A, B, C, and D as a, b, c, and d respectively.
Calculation:
1. From the given information, we can form two equations:
- (a + c)/2 = 35 (Equation 1)
- (b + d)/2 = 40 (Equation 2)
2. Also, we know that the sum of ages of A and D is equal to that of B and C:
- a + d = b + c (Equation 3)
3. We can simplify Equation 1 and Equation 2 to get:
- a + c = 70 (Equation 4)
- b + d = 80 (Equation 5)
4. Adding Equation 4 and Equation 5, we get:
- a + b + c + d = 150 (Equation 6)
5. Using Equation 3, we can express d in terms of a, b, and c:
- d = (b + c) - a (Equation 7)
6. Substituting Equation 7 in Equation 2, we get:
- (b + c - a + b)/2 = 40
- 2b + 2c - 2a = 80
- b + c - a = 40 (Equation 8)
7. Adding Equation 4 and Equation 8, we get:
- a + b + c = 110 (Equation 9)
8. Using Equation 6 and Equation 9, we can find the values of a, b, c, and d:
- a + b + c + d = 150
- a + b + c + (b + c - a) = 150 (Substituting Equation 7)
- 2b + 2c = 150
- b + c = 75
- a = 35 - c (Substituting Equation 1)
- d = 40 - b (Substituting Equation 2)
- a + (40 - b) = b + c
- 35 - c + 40 - b = b + c
- 75 - b - c = 35
- b + c = 40
- Substituting b + c = 75 and b + c = 40, we get:
- b = 17.5
- c = 22.5
- a = 12.5
- d = 37.5
Therefore, the ages of A, B, C, and D are 12.5, 17.5, 22.5, and 37.5 respectively. Hence, option C is the correct answer.
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Community Answer
A, B, C, D are four friends. Average age of A and C is 35 years and th...
A + C = 70 years
B + D = 80 years
B + C + D = 120 years
C = 40 years and A = 30 years
A + D = B + C
or , 30 + D = B + 40
or , D – B = 10
B = 35 years and D = 45 years
B + D = 80 years
B + C + D = 120 years
C = 40 years and A = 30 years
A + D = B + C
or , 30 + D = B + 40
or , D – B = 10
B = 35 years and D = 45 years
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A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer?
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A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer?.
A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer?.
Solutions for A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
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A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A, B, C, D are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.a)20, 30, 40, 50b)20, 25, 30, 35c)30, 35, 40, 45d)30, 40, 50, 60Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
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