Q. 145.0( 2 Votes )

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Answer :


To find: value of n


We know,





So, according to question:








(n + 5) (n + 4) = 22 (n – 1)


n2 + 4n + 5n + 20 = 22n – 22


n2 + 9n + 20 - 22n + 22 = 0


n2 – 13n + 42 = 0


n2 – 6n – 7n + 42 = 0


n(n – 6) – 7(n – 6) = 0


(n – 7) (n – 6) = 0


n = 7 or 6


The value of n can either be 6 or 7


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