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Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.
- a)12 years
- b)16 years
- c)18 years
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ages of A and B after 2 years will be in the ratio 2: 3 respectively,...
Let present ages of A, B and C are a, b and c respectively.
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Ages of A and B after 2 years will be in the ratio 2: 3 respectively, i.e.
(a + 2): (b + 2) = 2: 3
a = (2b - 2)/3
Ages of B and C before two years were in the ratio 7: 8 respectively, i.e.
(b - 2): (c - 2) = 7: 8
c = (8b - 2)/7
Present ages of A and C are in the ratio 5: 9 respectively, i.e.
a: c = 5: 9
9 x (2b - 2)/3 = 5 x (8b - 2)/7
b = 16 years
Most Upvoted Answer
Ages of A and B after 2 years will be in the ratio 2: 3 respectively,...
Given Ratios
- Ages of A and B after 2 years: 2:3
- Ages of B and C before 2 years: 7:8
- Present ages of A and C: 5:9
Calculating Present Age of B
Let the present ages of A, B, and C be 5x, 7y, and 9z respectively.
From the first ratio:
- After 2 years, A's age will be 5x + 2 and B's age will be 7y + 2
- As per the given ratio, (5x + 2)/(7y + 2) = 2/3
From the second ratio:
- Before 2 years, B's age was 7y - 2 and C's age was 9z - 2
- As per the given ratio, (7y - 2)/(9z - 2) = 7/8
From the third ratio:
- A's present age is 5x and C's present age is 9z
- As per the given ratio, 5x/9z = 5/9
Solving the equations:
- From the first ratio, we get x/y = 2/3
- From the second ratio, we get y/z = 7/8
- From the third ratio, we get x/z = 5/9
Substitute the values:
- Since x/y = 2/3 and y/z = 7/8, we get x/y = 2/3 = 14/21 = 70/105
- Since x/z = 5/9, we get x/z = 5/9 = 35/63 = 70/126
Therefore, the present age of B (7y) is:
- 105 = 7y
- y = 15
Hence, the present age of B (7y) is 7 * 15 = 105 years.
Therefore, the correct answer is option B) 16 years.
- Ages of A and B after 2 years: 2:3
- Ages of B and C before 2 years: 7:8
- Present ages of A and C: 5:9
Calculating Present Age of B
Let the present ages of A, B, and C be 5x, 7y, and 9z respectively.
From the first ratio:
- After 2 years, A's age will be 5x + 2 and B's age will be 7y + 2
- As per the given ratio, (5x + 2)/(7y + 2) = 2/3
From the second ratio:
- Before 2 years, B's age was 7y - 2 and C's age was 9z - 2
- As per the given ratio, (7y - 2)/(9z - 2) = 7/8
From the third ratio:
- A's present age is 5x and C's present age is 9z
- As per the given ratio, 5x/9z = 5/9
Solving the equations:
- From the first ratio, we get x/y = 2/3
- From the second ratio, we get y/z = 7/8
- From the third ratio, we get x/z = 5/9
Substitute the values:
- Since x/y = 2/3 and y/z = 7/8, we get x/y = 2/3 = 14/21 = 70/105
- Since x/z = 5/9, we get x/z = 5/9 = 35/63 = 70/126
Therefore, the present age of B (7y) is:
- 105 = 7y
- y = 15
Hence, the present age of B (7y) is 7 * 15 = 105 years.
Therefore, the correct answer is option B) 16 years.
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Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ages of A and B after 2 years will be in the ratio 2: 3 respectively, ages of B and C before two years were in the ratio 7: 8 respectively and present ages of A and C are in the ratio 5: 9 respectively. Find the present age of B.a)12 yearsb)16 yearsc)18 yearsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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