Question

& Finder n if
(n+3)! =
110 (n+1)!
​

Answer 1

(n+3)! = 110 ( n+1)!

( n+3)( n+2)( n+1)! = 110( n+1)!

n+3)( n+2) = 110

n+3)( n+2) = 2× 5 × 11

n+3)( n+2) = 10× 11

compare

n+2 = 10

n+3 = 11

n= 8

Answer 2

(n+3)(n+2) = 110 = 11*10
comparing like quantities we get
n+3 = 11 or n+2 = 10
n = 8