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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, 9 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.

- 4 years, 9 months ago

Its 30 but I'd like some convincing equations.

- 4 years, 9 months ago

Actually 30.5 and 30 kg are 2 possibilities.;)

- 4 years, 9 months ago

PSA...:P 30 i guess

- 4 years, 9 months ago

Yea i just guessed 30 :P

- 4 years, 9 months ago

Yup. Just some logic and linear equations. Weights are 22, 26, 27, 30.

- 4 years, 9 months ago

there is no need for taller boy to be heaviest ,plse correct ur mistakes

- 4 years, 9 months ago

yep it was asked for PSA....................

- 4 years, 9 months ago

Weight of the tallest boy? The tallest boy might not be the heaviest.

- 4 years, 9 months ago

I am sorry.Should have been clearer.Heaviest boy.

- 4 years, 9 months ago