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Here's an interesting problem.

Four small boys want to know their weights , but the weighing machine only weighs objects 40 kg and above.As each of the boys know their weight is less than this , they weigh themselves in pairs.The weights are 48 , 49 , 52 , 53 , 56 and 57.Find the weight of the tallest boy. Options are provided but try not use in the solution A) 29 kg B) 30 kg C) 31 kg D) 32 kg

Note by Sridhar Thiagarajan
4 years, 6 months ago

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LET THE WEIGHTS BE A,B,C,D. WHERE A>=B>=C>=D. SO A+B = 57, AS A+B IS THE LARGEST. A+C=56, C+D= 48 B+D=49 BUT NOW B+C=52 AND A+D=53, OR THE VICE VERSA. TAKE BOTH CASES SEPARATELY AND TRY SOLVING.

IN ONE CASE, A=30.5, B=26.5 ,C=25.5 AND D=22.5, AND IN THE OTHER, A=30, B=27, C=26, D=22.

SO 30.5 AND 30 ARE THE ANSWERS, BUT FORM THE OPTIONS, B IS CORRECT. Shourya Pandey · 4 years, 6 months ago

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Its 30 but I'd like some convincing equations. Sridhar Thiagarajan · 4 years, 6 months ago

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Actually 30.5 and 30 kg are 2 possibilities.;) Sambit Senapati · 4 years, 6 months ago

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PSA...:P 30 i guess Arunatpal Chanda · 4 years, 6 months ago

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@Arunatpal Chanda Yea i just guessed 30 :P Sridhar Thiagarajan · 4 years, 6 months ago

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@Arunatpal Chanda Yup. Just some logic and linear equations. Weights are 22, 26, 27, 30. Yong See Foo · 4 years, 6 months ago

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there is no need for taller boy to be heaviest ,plse correct ur mistakes Pradeep Ravichandran · 4 years, 6 months ago

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yep it was asked for PSA.................... Rajath Krishna R · 4 years, 6 months ago

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Weight of the tallest boy? The tallest boy might not be the heaviest. Yong See Foo · 4 years, 6 months ago

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@Yong See Foo I am sorry.Should have been clearer.Heaviest boy. Sridhar Thiagarajan · 4 years, 6 months ago

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