Quantitative Aptitude: Ages [Section 1 of 1] Q5 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 30:44Select the correct answerThe ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13 : 19. What is Rahul's present age (in years)?
Question
Quantitative Aptitude: Ages [Section 1 of 1] Q5 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 30:44Select the correct answerThe ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13 : 19. What is Rahul's present age (in years)?
Solution
To solve this problem, we need to use the concept of ratios and simple algebra. Here are the steps:
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Let's denote Rahul's present age as 3x and his sister's present age as 4x (since their present age ratio is 3:4).
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According to the problem, 10 years ago, the ratio of their ages was 13:19. This means that (3x - 10) / (4x - 10) = 13/19.
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Now, we just need to solve this equation for x. Cross-multiplying gives us 19*(3x - 10) = 13*(4x - 10).
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Simplifying this equation gives us 57x - 190 = 52x - 130.
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Solving for x, we get x = 60/5 = 12.
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Therefore, Rahul's present age is 3x = 3*12 = 36 years.
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