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1. |
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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