Ratio of the present age of Mike to the age of Mahira after 6 years is 3:4 and the average of the present age of Mike and Mahira is equal to the age of Max after 6 years. If Mike is 4 years elder than Max, then find the difference between the age of Mahira before 6 years and the present age of Max.<\/p>\n\n\n\n
a) 10 years<\/p>\n\n\n\n
b) 2 years<\/strong><\/p>\n\n\n\n c) 5 years<\/p>\n\n\n\n d) 8 years<\/p>\n\n\n\n e) None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Present age of Mike = 3x<\/p>\n\n\n\n Present age of Mahira = 4x \u2013 6<\/p>\n\n\n\n Max + 6 = (3x + 4x \u2013 6)\/2 = (7x \u2013 6)\/2 = 3.5x \u2013 3<\/p>\n\n\n\n Max = 3.5x \u2013 9<\/p>\n\n\n\n Present age of Max = 3.5x \u2013 9<\/p>\n\n\n\n 3x \u2013 (3.5x \u2013 9) = 4<\/p>\n\n\n\n -0.5x + 9 = 4<\/p>\n\n\n\n 0.5x = 5<\/p>\n\n\n\n x = 10<\/p>\n\n\n\n Present age of Mahira = 4 * 10 \u2013 6 = 34 years<\/p>\n\n\n\n Present age of Max = 3.5 * 10 \u2013 9 = 26 years<\/p>\n\n\n\n Required difference = (34 \u2013 6) \u2013 26 = 28 \u2013 26 = 2 years<\/p>\n","protected":false},"excerpt":{"rendered":" Ratio of the present age of Mike to the age of Mahira after 6 years is 3:4 and the average of the present age of Mike and Mahira is equal to the age of Max after 6 years. 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