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ICSE Class 10 Answered

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 | 15 Sep, 2019, 08:01: PM
answered-by-expert 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. end style
Answered by Yasmeen Khan | 16 Sep, 2019, 02:27: PM

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