IF x+ y= 12, the maximum value of the product of xy is
(a) 26 (b) 36
(c) 30 (d) None of these
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b) 36 because if x=y then x = 6
Another way to find
Factors of:-
26:- 1,2,13,26
30:- 1,2,3,5,6,10,15,30
36:- 1,2,3,4,6,9,12,18,36
The factors of 24 can't be used to form 12
Factors of 30 can be formed{10+2}. Product = 20
Factors of 36 can be formed{9+3}. Product = 27
But according to options, it doesn't satisfied.
But there is still a number, 6+6, which is 12. 6²= 36
Another way to find
Factors of:-
26:- 1,2,13,26
30:- 1,2,3,5,6,10,15,30
36:- 1,2,3,4,6,9,12,18,36
The factors of 24 can't be used to form 12
Factors of 30 can be formed{10+2}. Product = 20
Factors of 36 can be formed{9+3}. Product = 27
But according to options, it doesn't satisfied.
But there is still a number, 6+6, which is 12. 6²= 36
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