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Plz solve q9

Plz solve q9 *9 A pack contains n cards numbered from I to n. Two consecutive numbered cards are removed from tmpack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on he WEE 2013 is k, then k —20 =

Dear student
Please refer to the easy method which is given below.
Let k be the smaller of the two numbers on the removed cards.



Regards

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n(n+1)/2 -(k)-(k+1)=1224
get k= n(n+1)-2450 / 4
 since n should be such that n(n+1)>2450 and k is integer only n= 50 satisfies , 
then k= 25 and  k-20 = 5
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