How to Solve It?

Solve. Place the digits 1, 2, 3, 4 and 5 in the below circles so that the sums across and vertically are the same. Describe the strategy you used to find your solution(s).

See here. A complete solution is given below.

3 comments

  1. If x1,x2,x3,x4 &x5 are 5 numbers ;
    If Any xi comes in center i=1,2,3,4,5;
    Then sum of two is sum of remaining two excluding xi;
    If xi=1 remainings are 2,3,4 &5 :- 2+1+5( let it be Horizontal)=3+1+4(let it be vertical);
    3+1+4 ( let it be Horizontal)=2+1+5(let it be vertical);

    If xi=2 remainings are 1,3,4 & 5:- Solution not possible;
    If xi=3 remainings are 1,2,4 &5 :- 1+3+5(H)=2+3+4(V);
    2+3+4(H)=1+3+5(V);
    If xi=4 remainings are 1,2,3 & 5:- Solution not possible;
    If xi=5 remainings are 1,2,3,4 – (1+5+4)(H)=(2+5+3)(V);
    (2+5+3)(H)=(1+5+4)

    Liked by 1 person

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