Question

find three positive numbers in ratio 2:3:5, the sum of whose sqare is 950​

Answer 1

$\huge\bigstar\sf\red{Answer:}$

$\sf{Let \ the \ constant \ be \ n.}$

$\sf{According \ to \ the \ given \ condition}$

$\sf{(2n)^{2}+(3n)^{2}+(5n)^{2}=950}$

$\sf{\therefore{4n^{2}+9n^{2}+25n^{2}=950}}$

$\sf{\therefore{38n^{2}=950}}$

$\sf{\therefore{n^{2}=\dfrac{950}{28}}}$

$\sf{\therefore{n^{2}=25}}$

$\sf{\therefore{n=5}}$

$\sf{The \ numbers \ are:}$

$\sf{2n=2(5)=10, \ 3n=3(5)=15 \ and}$

$\sf{5n=5(5)=25.}$