4 weights r weighed in pairs. Weights of pairs are determined as 103,105,106,106,107,109What is the min wt?Diamond’s value is proportional to its weight2 .When the diamond broke wts of pieces in ratio 1:2:3;4:5.Total loss in value is 85,000.What is the value of the diamond twice the wt of the original diamondplz explain????

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shalini

  • Oct 27th, 2006
 

we can assume the weights as a,b,c and d and as he mentioned that they are taken in pairs we can relate it as

(a+b)+(b+c)+(c+d)+(b+d)+(a+d)+(c+a)=103+105+106+106+107+109

3(a+b+c+d)=636

a+b+c+d=212

every sum of two no.s is crossing 100 so every no. is greater than or near to 50 so wt can be 51,52,54,55 so minimum is 51

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