Question

the sum of the squares of three numbers which are in the ratio 3:4:5 is 5000. what are the numbers?

Answer 1

Let the numbers be 3x, 4x and 5x

(3x)^2 + (4x)^2 + (5x)^2 = 5000
9x^2 + 16x^2 + 25x^2 = 5000
50x^2 = 5000
x^2 = 100
x = 10

3x = 30
4x = 40
5x = 50

The numbers are 30, 40 and 50

Hope this helps... plsss make it the brainliest

Answer 2

take x common then,
(3x)sq.+(4x)sq.+(5x) sq.=5000
9x sq.+16x sq.+25x sq.=5000
50x sq.=5000
x sq.=5000/50
x sq.=100
.°. x=10
.°. the numbers are 30,40,50