Present ages of Neha and Rashmi are in the ratio of 7 : 8 respectively. Six years later, the ratio of their ages will become 9 : 10 respectively. What - Quantitative Aptitude MCQ Competitive Examination 2026 | ExamTest.live

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Present ages of Neha and Rashmi are in the ratio of 7 : 8 respectively. Six years later, the ratio of their ages will become 9 : 10 respectively. What is Rashmi's present age?

Solution & Step-by-step Explanation

Let the present ages of Neha and Rashmi be 7 x and 8 x respectively. Six years later: Neha’s age = 7 x + 6 Rashmi’s age = 8 x + 6 According to the question, the new age ratio is 9 : 10 : \frac{7 x + 6}{8 x + 6} = \frac{9}{10} Cross-multiplying: 10 (7 x + 6) = 9 (8 x + 6) 70 x + 60 = 72 x + 54 60 - 54 = 72 x - 70 x 6 = 2 x ⟹ x = 3 Therefore, Rashmi's present age is: Age = 8 x = 8 \times 3 = 24 years

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Present ages of Neha and Rashmi are in the ratio of 7 : 8 respectively. Six years later, the ratio of their ages will become 9 : 10 respectively. What is Rashmi's present age?

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