Find the three numbers in equation

The ratio of 3 positive numbers is 2 : 3 : 5 and the sum of their square is 608. The three numbers are

  1. 2, 3, 5
  2. 10, 15, 25
  3. 8, 12, 20
  4. 4, 6, 10
Manish Listener Asked on 20th July 2015 in Maths.
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1 Answer(s)

Answer: (3) 8, 12, 20
Explanation:-
According to the question,
Let be the numbers are 2 X,  3 X    & 5 X.
The sum of their square = 608
then,
(2X)2 + (3X)2 (5X)2 = 608
4X2 + 9X2 + 25X2 = 608
38X2 = 608X2
 = 608/38
X2 = 16
X = 4  (square root of both side)
Then, the numbers are 2 X = 2 x 4 = 8 , 3 X = 3 x 4 = 12  & 5 X = 5 x 4 = 20.
Hence, the numbers are 8, 12, 20
Hence, the answer is (3) 8, 12, 20.

Anurag Mishra Professor Answered on 20th July 2015.
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