Q. 14.7( 3 Votes )

Divide 12 into two parts such that their product is 32.

Answer :

Let the first number be ‘X’, so the other number will be ’(12–X)’.


X (12 – X) = 32


12X – X2 = 32


X2 – 12X + 32 = 0


On factorising further,


X2 – 4X – 8X + 32 = 0


X(X – 4) – 8(X – 4) = 0


(X – 4)(X – 8) = 0


So, X = 4 or 8


The numbers are 4 and 8.


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