Question

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on remaining cards is 1224. If the smaller of the numbers on the removed cards is k then k-20=

Answer 1

acc to given condition n
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

Answer 2

the answer up there is correct

k=25

k-20=5