Average of the present age of A, B and C is equal to the age of C after 5 years. Present age of A is 2\/3rd of the sum of the present age of B and C. B is 6 years elder than C. Find the present age of A.<\/p>\n\n\n\n
a) 21 years<\/p>\n\n\n\n
b) 18 years<\/p>\n\n\n\n
c) 24 years<\/strong><\/p>\n\n\n\n d) 15 years<\/p>\n\n\n\n e) None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n (A + B + C)\/3 = C + 5<\/p>\n\n\n\n A + B + C = 3C + 15 —- (1)<\/p>\n\n\n\n (B + C) * 2\/3 = A<\/p>\n\n\n\n A = (2B + 2C) * 1\/3 —- (2)<\/p>\n\n\n\n From (1) and (2),<\/p>\n\n\n\n (2B + 2C) * 1\/3 + B + C = 3C + 15<\/p>\n\n\n\n 2B + 2C + 3B + 3C = 9C + 45<\/p>\n\n\n\n 5B \u2013 4C = 45 —- (3)<\/p>\n\n\n\n B \u2013 C = 6<\/p>\n\n\n\n B = C + 6 —- (4)<\/p>\n\n\n\n 5 * (C + 6) \u2013 4C = 45<\/p>\n\n\n\n 5C + 30 \u2013 4C = 45<\/p>\n\n\n\n C = 15 years<\/p>\n\n\n\n B = 15 + 6 = 21 years<\/p>\n\n\n\n A = (21 + 15) * 2\/3 = 36 * 2\/3 = 24 years<\/p>\n","protected":false},"excerpt":{"rendered":" Average of the present age of A, B and C is equal to the age of C after 5 years. Present age of A is 2\/3rd of the sum of the present age of B and C. B is 6 years elder than C. 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