Question

Find three numbers in the ratio of 1:2:3, so that the sum of their squares is equal to 504.

Answer 1

there are three numbers which are in ratio..
X,2x,&3x
According to question

$x {}^{2} + (2x) {}^{2} + (3x ) {}^{2} = 504 \\ x {}^{2} + 4x {}^{2} + 9x {}^{2} = 504 \\ 14x {}^{2} = 504 \\ x {}^{2} = 504 \div 14 \\ x {}^{2} = 36 \\ x = \sqrt{36} \\ x = 6 \\ 2x = 12 \\ 3x = 18$

Answer 2

Answer:

$\huge\underline\mathfrak\red{Refer to the given attachment ♡}$