Question
The ratio of two numbers ‘A’ and ‘B’ is 11:13.
If the product of these two numbers is 20592, then find the difference between number ‘B’ and number ‘A’.Solution
Let the number ‘A’ and number ‘B’ be ‘11x’ and ‘13x’, respectively. According to the question, 11x × 13x = 20592 Or, 143x² = 20592 Or, x² = 144 Or, x = 12 (Since, ‘x’ cannot be negative in this case) Required difference = 13x – 11x = 2x = 2 × 12 = 24
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