Question
Shruti's current age is 20% less than Suhana's age. Four
years from now, the ratio of Suhana’s age to Shruti's age will be 11:9. What was the ratio of Suhana's age to Shruti's age four years ago?Solution
Let the present age of Suhana be x years Therefore, present age of Shruti = 0.8x According to the question, (x + 4)/(0.8x + 4) = 11/9 Or, 9x + 36 = 8.8x + 44 Or, 0.2x = 8 Or, x = 40 years Therefore, ratio of ages of Suhana and Shruti 4 years ago = (x – 4)/(0.8x – 4) = 36/28 = 9:7
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