If a,b,c,d are positive integers with sum of 63. What is the maximum value of ab+bc+cd?
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Answer:
991
Step-by-step explanation:
We should get two of them the highest, so let us take other two as 1 each..
a=d=1, as a and d are used only once in the calculations.
max values of b and c will be 31 and 30 in any order.
so
ab+bc+cd= 1x31+ 31x30+ 30x1 = 31+930+30= 991
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