1. A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

Ask Your Doubts Here

Comments

By: guest on 02 Jun 2017 02.07 am

Clearly, we have :A = B - 3 ...(i)D + 5 = E ...(ii)A+C = 2E ...(iii)B + D = A+C = 2E ...(iv)A+B + C + D + E=150 ...(v)From (iii), (iv) and (v), we get: 5E = 150 or E = 30.Putting E = 30 in (ii), we get: D = 25.Putting E = 30 and D = 25 in (iv), we get: B = 35.Putting B = 35 in (i), we get: A = 32.Putting A = 32 and E = 30 in (iii), we get: C = 28.