Question
The sum of present ages of Ria and Anju is 42 years.
Today Anju is 3 years older than Shweta. The respective ratio of the present ages of Ria and Shweta is 8 : 5. What was Anjuโs age one years ago?Solution
Let the present ages of Ria and Shweta be 8x years and 5x years respectively. Anju is 3 years older than Shweta. So, present age of Anju = 5x + 3 years According to the question, 8x + (5x + 3) = 42 Or, 13x + 3 = 42 Or, 13x = 39 Or, x = 3 So, present age of Anju = 5x + 3 = (5 ร 3) + 3 = 18 years Therefore, Anjuโs age one year ago = 18 - 1 = 17 years
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