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

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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