# 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

- 2, 3, 5
- 10, 15, 25
- 8, 12, 20
- 4, 6, 10

**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

4X^{2} + 9X^{2} + 25X^{2} = 608

38X^{2} = 608X2

= 608/38

X^{2} = 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.