Question

three numbers are in the ratio 3:5:9. find the largest number, given that sum of squares of the number is 460

Answer 1

Begin by assuming the numbers.


Since the ratio is given as 3 : 5 : 9,

Let the numbers be 3x, 5x and 9x.



According to the question we can easily derive the below written equation,

( 3x ) ^ 2 + ( 5x ) ^ 2 + ( 9x ) ^ 2 = 460

9x^2 + 25x^2 + 81x^2 = 460

115x^2 = 460

x^2 = 460 / 115

x^2 = 4

x = √4

x = 2


Hence,

The largest number = 9x = 9 * 2 = 18

Similarly, if you like you may find other numbers too ^_^

Answer 2

Hope that answer help you dear friend