Question

three positive numbers are in the ratio 1/2:1/3:1/4.find the numbers if the sum of their square is 244

Answer 1

Hi ,

Let a , b , c are three positive numbers ,

a : b : c = 1/2:1/3:1/4

= 12/2 : 12/3 : 12/4

= 6 : 4 : 3

Let a = 6x ,

b = 4x ,

c = 3x

(according to the problem given ,

( 6x )² + ( 4x )² + ( 3x )² = 244

36x² + 16x² + 9x² = 244

61x² = 244

x² = 244/61

x² = 4

x = √4

x = 2 ,

Therefore ,

Required three numbers are,

a = 6x = 6 × 2 = 12 ,

b = 4x = 4 × 2 = 8

c = 3x = 3 × 2 = 6

I hope this helps you.

: )