The ratio of the age of a man and his wife is 4:3. At the time of marriage, the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married? A. 8 years B. 12 years C. 11 years D. 10 years Answer Workspace Report Discuss Answer with explanation Answer: Option B Explanation Let the present age of the man and his wife be 4x and 3x respectively. After 4 years this ratio will become 9:7 ⇒ (4x+4) : (3x+4)= 9:7 ⇒ 7(4x+4) = 9(3x+4) ⇒ 28x+28 = 27x+36 ⇒ x = 8 The present age of the man = 4x =>> 4×8 = 32 The present age of his wife = 3x =>> 3×8 = 24 Assume that they got married before t years. Then, ⇒ (32−t) : (24−t) = 5:3 ⇒ 3(32−t) = 5(24−t) ⇒ 96−3t = 120−5t ⇒ 2t = 24 ⇒ t = 24/2 =12 Workspace
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