Question

Multi Choice Type Question
Marks : 1 Negative Marks : 0
A, B, C, D and E play a game of cards. A says to B, "If you give me
three cards, you will have as many as E has and if I give you three
cards, you will have as many as D has." A and B together have 10
cards more than what D and E together have. If B has two cards
more than what C has and total number of cards be 133, how
many cards does B have?

Answer 1

Answer:

Clearly, we have :

B - 3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133 ⇔ 5B = 125 ⇔ B = 25.