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Question

Solve:
m-(m-1)2=1-(m-2)3

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Solution

m - ( m-1 )2 = 1 - ( m-2 )3 2m - m + 12 = 1 - ( m-2 )3 (L.C.M.of 1 and 2 is 2 ) m + 12 = 3 -m + 23 (L.C.M.of 1 and 3 is 3 ) m + 12 = 5 - m3 3 ( m + 1 ) = 2 ( 5 - m ) (by cross multiplication) 3m + 3 = 10 - 2m 3m + 2m = 10 - 3 5m = 7 m= 75 m = 75

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