perplexus.info :: Weights and Scales : Nine Marbles

Nine Marbles (Posted on 2014-09-20)

Three friends Ade, Ben and Cade have 9 marbles in front of them. Their weights are as follows:
154, 16, 19, 101, 10, 17, 13, 46 and 22 grams.

Each of the three friends takes 3 marbles. Ade's bunch weighs precisely twice as much as Bill's bunch.

What is the total weight in Cade's bunch?

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Computer Program Solution

Comment 6 of 6 |

(In reply to Computer Program Solution by Larry)

In MATLAB:

marbles=[154, 16, 19, 101, 10, 17, 13, 46, 22];

for i=1:7

a(1)=marbles(i);

for j=i+1:8

a(2)=marbles(j);

for k=j+1:9

a(3)=marbles(k);

m2=marbles;

m2(k)=[];m2(j)=[];m2(i)=[];

for l=1:4

b(1)=m2(l);

for m=l+1:5

b(2)=m2(m);

for n=m+1:6

b(3)=m2(n);

c=m2;

c(n)=[];

c(m)=[];

c(l)=[];

if sum(a)==2*sum(b)

disp(a)

disp(b)

disp(c)

disp(sum(c))

end

Result:

16 46 22

19 10 13

154 101 17

272

Edited on November 9, 2020, 10:47 am

Posted by Charlie on 2020-11-09 10:45:38

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