Question

ITS URGENT. THE SUM OF THE SQUARES OF THREE NUMBERS WHICH ARE IN RATIO 2:3:4 IS 725 . WHAT ARE THE NUMBERS?

Answer 1

Answer:

10,15,20 or - 10,-15,-20

Step-by-step explanation:

Since the given number are in the ratio 2:3:4 they can be taken as 2x,3x and 4x respectively

Sum of their squares is 725

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

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

29x^2=725

X^2 =725/29=25

x= +-5

So, three numbers are 10,15, 20 or - 10,-15 and -20

Answer 2

Answer:

Numbers are 2k, 3k, and 4k for some positive constant k. Get the positive square root of both sides. So 2k = 10, 3k = 15, and 4k = 20.