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

#MathProblem

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
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Comments

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 - 8 years, 3 months ago

PSA...:P 30 i guess

Arunatpal Chanda - 8 years, 4 months ago

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

Yong See Foo - 8 years, 4 months ago

Yea i just guessed 30 :P

Sridhar Thiagarajan - 8 years, 3 months ago

Actually 30.5 and 30 kg are 2 possibilities.;)

Sambit Senapati - 8 years, 3 months ago

Its 30 but I'd like some convincing equations.

Sridhar Thiagarajan - 8 years, 3 months ago

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

Yong See Foo - 8 years, 4 months ago

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

Sridhar Thiagarajan - 8 years, 3 months ago

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

Rajath Krishna R - 8 years, 3 months ago

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

PRADEEP RAVICHANDRAN - 8 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$