Basic Mathematics problem # 2

Algebra Level 5

Find solutions of a, b, c, d in ordered pairs in the following system.

a + b + c + d = 12

abcd = 27 + ab + ac + ad + bc + bd + cd

Note - Give your answer as in the following example- if solutions are (a, b, c, d) = (1,2,3,4) and (9,8,7,6), then your answer will be 1+2+3+4+5+6+7+8+9 = 45


The answer is 12.

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1 solution

Rohith M.Athreya
Jun 28, 2014

there is only one ordered pair satisfying the condition as seen in the question "solutions too many!!!!!!!!!" which is(a,b,c,d) equals (3,3,3,3) thus,a+b+c+d=12

Yeah! you are right, by the way, I didn't know this question has been already posted.

Kartik Sharma - 6 years, 11 months ago

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am gm condition

U Z - 6 years, 5 months ago

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