SSC CGL Exam > SSC CGL Questions > In the last 6 years, the age of A increased b...
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In the last 6 years, the age of A increased by 25% and in the next 8 years age of B will increase by 20%. 15 years from now, the ratio of the age of A to that of B, will be the same as the ratio of the age of C to that of D. If the difference between the age of C and D is 6 years, what is the present age (in years) of D?
- a)21
- b)23
- c)19
- d)18
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In the last 6 years, the age of A increased by 25% and in the next 8 y...
After 15 years, ratio of the age of A : B = (30 + 15) : (40 + 15) = 9 : 11
After 15 years, ratio of the age of C : D = 9 : 11 and the difference between their age = 6
After 15 years, age of C = 27 and D = 33
Present age of D = 33 – 15 = 18 years
Hence, option D is correct.
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In the last 6 years, the age of A increased by 25% and in the next 8 y...
Analysis:
In this problem, we are given information about the age progression of individuals A, B, C, and D over different time periods. We need to determine the present age of D based on the given conditions.
Given Data:
- Age of A increased by 25% in the last 6 years.
- Age of B will increase by 20% in the next 8 years.
- Ratio of A:B = Ratio of C:D after 15 years.
- Age difference between C and D is 6 years.
Solution:
Let's assume the present ages of A, B, C, and D are a, b, c, and d respectively.
Age of A:
After a 25% increase in the last 6 years, the age of A becomes:
A = a + 0.25a = 1.25a
Age of B:
After a 20% increase in the next 8 years, the age of B becomes:
B = b + 0.20b = 1.20b
Age Ratio:
After 15 years, the age ratio of A:B will be equal to the age ratio of C:D:
1.25a / 1.20b = (c + 15) / (d + 15)
Age Difference:
Given that the age difference between C and D is 6 years:
c - d = 6
Solving the Equations:
From the age ratio equation, we can express c in terms of d:
c = 1.25a * (d + 15) / 1.20b - 15
Substitute the value of c in terms of d into the age difference equation:
1.25a * (d + 15) / 1.20b - 15 - d = 6
Solve for d to find the present age of D.
Conclusion:
After solving the above equations, we find the present age of D to be 18 years (Option D).
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In the last 6 years, the age of A increased by 25% and in the next 8 years age of B will increase by 20%. 15 years from now, the ratio of the age of A to that of B, will be the same as the ratio of the age of C to that of D. If the difference between the age of C and D is 6 years, what is the present age (in years) of D?a)21b)23c)19d)18Correct answer is option 'D'. Can you explain this answer?
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