mamun2013@gmail.com wrote:
Of the N books on a Table, some are English and the rest are Bangla. What is the Value of N?
(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.
(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
so all books are either english or bangla..
(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.
so \(\frac{(e-1)}{(n-1)}=\frac{1}{5}.......5e-5=n-1......5e=n-6.\)
many possibilities..
insuff
(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
so \(\frac{(b-2)}{(n-2)}=\frac{1}{4}.......4e-4=n-2......4e=n+2.\)
many possibilities..
insuff
combined..
two variables two distinct equations..
sufficient
C
Could you please recheck your equations please? I think your first equation should be 5e=n+4 and for your statement two solution, the numerator should have e instead of b-2 I think.