Q. Two years ago, the ratio of Ram's and Mohan's age was 3 : 2 and at present 7 : 5. What are their present ages?

The ratio of Ram's and Mohan's present age is 7 : 5. Let us assume the present ages of Ram and Mohan are 7Y and 5Y years. 2 Years ago the age of Ram and Mohan will be 7Y - 2 and 5Y - 2 years. According to question, Two years ago, the ratio of Ram's and Mohan's age was 3 : 2, then (7Y -2)/(5Y - 2) = 3/2 ⇒ (7Y -2) x 2 = 3 x (5Y - 2) ⇒ 14Y - 4 = 15Y - 6 ∴ Y = 2 Hence, their present ages = 7 x 2 = 14 years and 5 x 2 = 10 year

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