the ratio of three number is 3:4:5and the sum of the theire square is 1250.

Question

.The sum of the three number is ?

Answer 1

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

Given that sum of their squares is 1250

                  => (3x)^2 + (4x)^2 + (5x)^2 = 1250

                  => 9x^2 + 16x^2 + 25x^2 = 1250

                  => 50x^2 = 1250

                  => x^2 = 1250 / 50

                             = 25

                  => x = √25

                         = 5

3x = 3(5) = 15

4x = 4(5) = 20

5x = 5(5) = 25

Therefore the three numbers are 15, 20 and 25