Question

Three numbers are in the ratio of 1:2:3: and the sum of their squares is 350. Find the numbers

Answer 1

Answer:

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