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# Of the N books on a Table, some are English and the rest are Bangla.

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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
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If n is total books, e is english and b is bangla,

(1) 1/5 (n-1) = e-1
From this we cannot find n, since there are two variables

(2) 1/4(n-2) = e
From this we cannot find n, since there are two variables

By combining the two, we now have 2 equations and 2 variables. Solving, we get e=6, n = 26
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Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
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chetan2u wrote:
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

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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
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Rukia wrote:
chetan2u wrote:
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

Thank you. Corrected the typos.
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
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