Question

The sum of the squares of three numbers which are in ratio 3:4:5 is 800. What are the numbers?

Answer 1

let the common ratio be x
it is given that (3x)^2+(4x)^2+(5x)^2=800
50x^2= 800
x^2 = 16
x=4
no.s are 12,16 and 20

Answer 2

hello users ...

solution:-
Given that:
Three numbers are are in ratio 
3 : 4 : 5 

And
sum of square of these three numbers = 800

Now,
let,
first number be = 3x 
second number = 4x 
And
third number = 5x  

According to given :
(3x)² + (4x)² + (5x)² = 800

=> 9x² + 16x² + 25x² = 800
Taking x² common ....

=> (9 + 16 + 25) x² = 800

=> 50x² = 800 

=> x² = 800/50 = 16

=> x = 4 

Hence ;
first number = 3x = 3*4 = 12 
second number= 4x = 4*4 = 16 
And 
third number = 5x = 5*4 = 20  Answer 

# hope it helps :)