Puzzle:
In the equation shown below, A, B, C, D, and E are 5 consecutive positive integers. What are they?
A*A + B*B + C*C = D*D + E*E
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Solution:
A=10, B=11, C=12, D=13, E=14.
10x10 + 11x11 + 12x12 = 13x13 + 14x14
A=10, B=11, C=12, D=13, E=14.
10x10 + 11x11 + 12x12 = 13x13 + 14x14
14 comments:
10, 11, 12, 13, 14
Hi Suman/Jayanth
Can u explain the way of solving these type of puzzles?
SEAM * T = MEATS
10,11,12,13,14... Simple quadratic equation formulation...
@PG...
As suggested by some, one way would be to write a brute-force (or maybe even some intelligent program) to do it...
Usually best languages to write such programs would be some mathematical/logical programming language (like PROLOG, LISP) or maybe some scripting like PERL etc...
But if you want to proceed manually, find out the various constraints, and then try to reduce the solution space for each variable... For example in this case, we have :
T*M % 10 = S, so you can find the possible combinations of T, M and S...That reduces the possible cases alot...Also, M != 0 and neither M nor T equal 1 (because otherwise M*T would either equal M or T)...so you build all the cases you can come up with :), and then use a bit of back-tracking as you pick one particular case :)...So basically,
Build cases/rules/constraints first...
Hope that helps
a^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2;
solve this quadratic equ.
a=10 ans
10 11 12 13 14 15
sorry
10 11 12 13 14
SEAM * T = MEATS
Solution:
4973 x 8 = 39784
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it is easy to find the factors of integers and the factorization. But you need to get some knowledge first. Just research about it and read the blog on the internet.
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