Question

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

Answer 1

Step-by-step explanation:

let the numbers are 2X,3X,4X.

A.T.Q.

4X^2+9X^2+16X^2=725

29X^2=725

X^2=725/29

X=√25=5,-5

so, no. are 2×5=10,2×-5=-10

3×5=15,3×-5=-15

and 4×5=20,4×-5=-20

no. are 10,15,20 & -10,-15,-20.

Answer 2

Answer:

So the numbers are 10,15,20 or - 10,-15,-20

Step-by-step explanation:

Let the numbers be 2x,3x,4x

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

29x^2=725

x^2=725/29

=25

Taking square root we get x is +5 or - 5

If x=5 then the numbers are 10,15,20

If x=-5 then the numbers are - 10,-15, - 20

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