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

## Comments

Sort by:

TopNewestLET 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

Log in to reply

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

Log in to reply

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

Log in to reply

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

Log in to reply

– Sridhar Thiagarajan · 4 years, 6 months ago

Yea i just guessed 30 :PLog in to reply

– Yong See Foo · 4 years, 6 months ago

Yup. Just some logic and linear equations. Weights are 22, 26, 27, 30.Log in to reply

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

Log in to reply

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

Log in to reply

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

Log in to reply

– Sridhar Thiagarajan · 4 years, 6 months ago

I am sorry.Should have been clearer.Heaviest boy.Log in to reply