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5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?
- a)30 years
- b)31.67 years
- c)33.33 years
- d)36 years
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years...
Let the age of A 5 years ago = 7x
The age of B 5 years ago = 6x
147x + 525 = 132x + 550
15x = 25
So the answer = (7x + 5 + 6x + 5) = 13x + 10
Hence, Option B is correct.
The age of B 5 years ago = 6x
147x + 525 = 132x + 550
15x = 25
So the answer = (7x + 5 + 6x + 5) = 13x + 10
Hence, Option B is correct.
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Community Answer
5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years...
Given Data:
- 5 years ago, the ratio of A's age to B's age was 7:6.
- 20 years later, the ratio of A's age to B's age will be 22:21.
Let's solve the problem step by step:
Step 1: Set up equations
- Let the current ages of A and B be A and B respectively.
- According to the first statement,
(A-5)/(B-5) = 7/6
- According to the second statement,
(A+20)/(B+20) = 22/21
Step 2: Solve the equations
- Cross multiply the first equation:
6A - 30 = 7B - 35
6A - 7B = -5 ----(i)
- Cross multiply the second equation:
21A + 420 = 22B + 440
21A - 22B = 20 ----(ii)
- Now, solve equations (i) and (ii) simultaneously to find the values of A and B.
Step 3: Find the current ages of A and B
- After solving equations (i) and (ii), we get the current ages of A and B as A=35 and B=30.
Step 4: Find the sum of their current ages
- Sum of their current ages = A + B
= 35 + 30
= 65 years
Therefore, the sum of their current ages is 65 years, which is equivalent to 31.67 years (option b).
- 5 years ago, the ratio of A's age to B's age was 7:6.
- 20 years later, the ratio of A's age to B's age will be 22:21.
Let's solve the problem step by step:
Step 1: Set up equations
- Let the current ages of A and B be A and B respectively.
- According to the first statement,
(A-5)/(B-5) = 7/6
- According to the second statement,
(A+20)/(B+20) = 22/21
Step 2: Solve the equations
- Cross multiply the first equation:
6A - 30 = 7B - 35
6A - 7B = -5 ----(i)
- Cross multiply the second equation:
21A + 420 = 22B + 440
21A - 22B = 20 ----(ii)
- Now, solve equations (i) and (ii) simultaneously to find the values of A and B.
Step 3: Find the current ages of A and B
- After solving equations (i) and (ii), we get the current ages of A and B as A=35 and B=30.
Step 4: Find the sum of their current ages
- Sum of their current ages = A + B
= 35 + 30
= 65 years
Therefore, the sum of their current ages is 65 years, which is equivalent to 31.67 years (option b).
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5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?a)30 yearsb)31.67 yearsc)33.33 yearsd)36 yearsCorrect answer is option 'B'. Can you explain this answer?
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5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?a)30 yearsb)31.67 yearsc)33.33 yearsd)36 yearsCorrect answer is option 'B'. 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 5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?a)30 yearsb)31.67 yearsc)33.33 yearsd)36 yearsCorrect answer is option 'B'. 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 5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?a)30 yearsb)31.67 yearsc)33.33 yearsd)36 yearsCorrect answer is option 'B'. Can you explain this answer?.
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