Question

find 3 number in the ratio 1:2:3 such that sum of their square is 504​

Answer 1

Answer:

6 , 12 and 18

Step-by-step explanation:

Let the number be x , 2x , and 3x respectively.

So,

(x)² + (2x)² + (3x)² = 504

x² + 4x² + 9x² = 504

14x² = 504

x² = 504÷14

x² = 36

√x² = √36

Therefore , x = 6.

Now we can say the three numbers are ,

x = 6 , 2x = 2×6 = 12 and 3x = 3×6 = 18.

Proof —

(6)² + (12)² + (18)² = 36 + 144 + 324 = 504