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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
X = 10.
5x – 3x = 2*10 = 20
Most Upvoted Answer
The sum of the squares between three numbers is 5000. The ratio betwee...
The ratio b/w the first two number is 3:4 is 1/2 =3/4 andthe ratio b/w second and third no is 2/3= 4/5
so 1/2/3 = 3/4/5
1:2:3=3:4:5
but here the question say that the sum of the squares is 5000
so 1:2:3 =9:16:25
rational add = 9+16+25=50
so first square no = 5000×9÷50=900 =30^2
second square = 5000×16÷50=1600=40^2
third square = 5000×25÷50=2500= 50^2
so numbers are 30,40,50
so diffrence b/w first and third no =50_30=20
so 1/2/3 = 3/4/5
1:2:3=3:4:5
but here the question say that the sum of the squares is 5000
so 1:2:3 =9:16:25
rational add = 9+16+25=50
so first square no = 5000×9÷50=900 =30^2
second square = 5000×16÷50=1600=40^2
third square = 5000×25÷50=2500= 50^2
so numbers are 30,40,50
so diffrence b/w first and third no =50_30=20
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Community 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.
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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