# when 1 is added to the product of two consecutive even numbers,we get 225.Find out the numbers.

Answer :

Let , even number = x   consecutive even number = x  +  2 , So from given condition we get

x ( x + 2 ) +  1  =  225

x 2 + 2 x  -  224 = 0

x2 + 16 x  - 14 x  -  224  = 0

x ( x  +  16 ) - 14 ( x  +  16 ) = 0

( x  - 14 ) ( x  +  16 ) = 0

So,

x  =  14 and  -  16

So,

Consecutive even numbers  =  14 , 16   and  - 16 , - 14                                               ( Ans )

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