Three positive numbers are in the ratio 1/2:1/3:1/4.Find the numbers of the sum of their squares is 244.

Asked by sanjayamakhija5678 | 15th Sep, 2019, 08:01: PM

Expert Answer:

begin mathsize 16px style According space to space the space condition comma space we space get
open parentheses 1 half straight x close parentheses squared space plus space open parentheses 1 third straight x close parentheses squared plus space open parentheses 1 fourth straight x close parentheses squared space equals space 244
lcm left parenthesis 4 comma space 9 comma space 16 right parenthesis space equals space 144
rightwards double arrow fraction numerator 36 straight x squared plus 16 straight x squared plus 9 straight x squared over denominator 144 end fraction equals space 244
rightwards double arrow fraction numerator 61 straight x squared over denominator 144 end fraction equals space 244
rightwards double arrow straight x to the power of 2 space space space end exponent space equals space fraction numerator 244 cross times 144 space over denominator 61 end fraction equals 576
rightwards double arrow straight x space equals space 24
So comma space the space three space postive space number space are space 1 half straight x equals space 12 comma space 1 third straight x equals 8 space comma 1 fourth straight x equals space 6.
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Answered by Yasmeen Khan | 16th Sep, 2019, 02:27: PM