Question

The sum of the squares of three number which are in ratio 2:3:4 Is 725.what are the numbers?

Answer 1

Let the three numbers be 2x, 3x and 4x.

Squares of these numbers are 4x², 9x² and 16x²

Sum=725

 ∴4x²+9x²+16x²=725

29x²=725

x²=25

x=+/-5

When x=+5,

the numbers are 10, 15 and 20

When x=-5,

the numbers are -10, -15 and -20

Answer 2

Hey friend!

Let the number be X
Then ratio is
= 2x
= 3x
=4x

Now sum for the square

==> (2x)^2 +(3x)^2+(4x)^2 = 725

==> 4x^2 +9x^2 +16x^2 = 725

==> 29x^2 = 725

==> X^2 = 725/29

==> X^2 = 25

==> X = √5×5

==> X =5

Thus the numbers are
=> 2×5 = 10
=> 3×5 = 15
=> 4×5 = 20

Hope it's helpful ✌☺