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The difference between the age of two person is 8 years. 12 Years ago, the elder one was twice the age of younger one. What is the ratio of their present ages?
- a)3 : 4
- b)4 : 5
- c)5 : 7
- d)3 : 5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The difference between the age of two person is 8 years. 12 Years ago,...
So, 1 ≡ 8yrs
2 ≡ 16 yrs
So ratio of their present ages = 20 : 28 = 5 : 7
Most Upvoted Answer
The difference between the age of two person is 8 years. 12 Years ago,...
Introduction:
In this problem, we are given that the difference between the ages of two people is 8 years. We are also given that 12 years ago, the elder person was twice the age of the younger person. We need to find the ratio of their present ages.
Let's assume:
Let the present age of the younger person be x years.
Then, the present age of the elder person will be (x + 8) years.
Age 12 years ago:
12 years ago, the age of the younger person would be (x - 12) years.
And the age of the elder person would be (x + 8 - 12) years = (x - 4) years.
Given Information:
According to the given information, 12 years ago the elder person was twice the age of the younger person.
So, we can write the equation: (x - 4) = 2(x - 12).
Solving the equation:
Let's solve the equation to find the value of x.
x - 4 = 2x - 24 (Using distributive property)
x - 2x = -24 + 4 (Transposing terms)
-x = -20
x = 20
Calculating present ages:
The present age of the younger person is x = 20 years.
The present age of the elder person is x + 8 = 20 + 8 = 28 years.
Ratio of their present ages:
To find the ratio of their present ages, we divide their ages by their common factor, which is 4.
Ratio of their present ages = 20/4 : 28/4 = 5 : 7
Conclusion:
Therefore, the ratio of their present ages is 5 : 7, which corresponds to option 'C'.
In this problem, we are given that the difference between the ages of two people is 8 years. We are also given that 12 years ago, the elder person was twice the age of the younger person. We need to find the ratio of their present ages.
Let's assume:
Let the present age of the younger person be x years.
Then, the present age of the elder person will be (x + 8) years.
Age 12 years ago:
12 years ago, the age of the younger person would be (x - 12) years.
And the age of the elder person would be (x + 8 - 12) years = (x - 4) years.
Given Information:
According to the given information, 12 years ago the elder person was twice the age of the younger person.
So, we can write the equation: (x - 4) = 2(x - 12).
Solving the equation:
Let's solve the equation to find the value of x.
x - 4 = 2x - 24 (Using distributive property)
x - 2x = -24 + 4 (Transposing terms)
-x = -20
x = 20
Calculating present ages:
The present age of the younger person is x = 20 years.
The present age of the elder person is x + 8 = 20 + 8 = 28 years.
Ratio of their present ages:
To find the ratio of their present ages, we divide their ages by their common factor, which is 4.
Ratio of their present ages = 20/4 : 28/4 = 5 : 7
Conclusion:
Therefore, the ratio of their present ages is 5 : 7, which corresponds to option 'C'.
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The difference between the age of two person is 8 years. 12 Years ago, the elder one was twice the age of younger one. What is the ratio of their present ages?a)3 : 4b)4 : 5c)5 : 7d)3 : 5Correct answer is option 'C'. Can you explain this answer?
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The difference between the age of two person is 8 years. 12 Years ago, the elder one was twice the age of younger one. What is the ratio of their present ages?a)3 : 4b)4 : 5c)5 : 7d)3 : 5Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The difference between the age of two person is 8 years. 12 Years ago, the elder one was twice the age of younger one. What is the ratio of their present ages?a)3 : 4b)4 : 5c)5 : 7d)3 : 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the age of two person is 8 years. 12 Years ago, the elder one was twice the age of younger one. What is the ratio of their present ages?a)3 : 4b)4 : 5c)5 : 7d)3 : 5Correct answer is option 'C'. Can you explain this answer?.
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