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Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ages of A and B will be in the ratio 17 : 26. Find the present age of B.
  • a)
    72
  • b)
    65
  • c)
    77
  • d)
    60
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ag...
A) 72
Explanation: A/B = 5/8 , A+6/B+6 = 17/26
Solve both, B = 72
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Most Upvoted Answer
Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ag...
Given:
The ratio of ages of A and B is 5 : 8.
After 6 years, the ratio of ages of A and B will be 17 : 26.

To find:
The present age of B.

Solution:
Let's assume the present age of A and B to be 5x and 8x respectively.

After 6 years, the age of A will be (5x + 6) and the age of B will be (8x + 6).

According to the second condition, the ratio of ages after 6 years is 17 : 26.

So, we have the equation:
(5x + 6)/(8x + 6) = 17/26

Cross multiplying:
26(5x + 6) = 17(8x + 6)

130x + 156 = 136x + 102

130x - 136x = 102 - 156

-6x = -54

Dividing both sides by -6:
x = 9

So, the present age of B is 8x = 8 * 9 = 72.

Hence, the correct answer is option A) 72.
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Community Answer
Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ag...
A) 72
Explanation: A/B = 5/8 , A+6/B+6 = 17/26
Solve both, B = 72
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Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ages of A and B will be in the ratio 17 : 26. Find the present age of B.a)72b)65c)77d)60e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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