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The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number?
  • a)
    21
  • b)
    35
  • c)
    42
  • d)
    56
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of three numbers is 210. If the ratio between the first and se...
Answer – c) 42 Explanation : a: b = 2:3 and b:c = 4:5 a:b:c = 8:12:15 Difference between first and third number  = (7/35)*210 = 42
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Most Upvoted Answer
The sum of three numbers is 210. If the ratio between the first and se...
Solution:

Let the three numbers be 2x, 3x, and 5y.

Given, 2x + 3x + 5y = 210

=> 5x + 5y = 210

=> x + y = 42

Also, given that 2x/3x = 2/3 and 3x/5y = 4/5

=> x = 14 and y = 28

Therefore, the first number = 2x = 28, and the third number = 5y = 140.

The difference between the first and third number = 140 - 28 = 112.

Therefore, the correct option is (e) none of these.

Note: The given answer is incorrect. The correct answer is option (e) none of these.
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The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number?a)21b)35c)42d)56e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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