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The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5.Find the difference between first and the third number.
  • a)
    20
  • b)
    30
  • c)
    40
  • d)
    50
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of the squares between three numbers is 5000. The ratio betwee...
Answer – A.20 Explanation : a^2 + b^2 + c^2 = 5000 a:b:c = 3:4:5 50x^2 = 5000.
X = 10.
5x – 3x = 2*10 = 20
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Most Upvoted Answer
The sum of the squares between three numbers is 5000. The ratio betwee...
Given:
Sum of squares between three numbers = 5000
Ratio between first and second number = 3:4
Ratio between second and third number = 4:5

To find:
Difference between first and third number

Solution:
Let the three numbers be 3x, 4x, and 5x (based on the given ratios)
Sum of squares = (3x)^2 + (4x)^2 + (5x)^2
= 9x^2 + 16x^2 + 25x^2
= 50x^2

Given, sum of squares = 5000
50x^2 = 5000
x^2 = 100
x = 10

Therefore, the three numbers are 30, 40, and 50.

The difference between the first and third number = 50 - 30 = 20

Hence, the correct answer is option A.
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Community Answer
The sum of the squares between three numbers is 5000. The ratio betwee...
Answer – A.20 Explanation : a^2 + b^2 + c^2 = 5000 a:b:c = 3:4:5 50x^2 = 5000.
X = 10.
5x – 3x = 2*10 = 20
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The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5.Find the difference between first and the third number.a)20b)30c)40d)50e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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