Question
The ratio of two numbers βAβ and βBβ is 11:13.
If the product of these two numbers is 20592, then find the difference between number βBβ and number βAβ.Solution
Let the number βAβ and number βBβ be β11xβ and β13xβ, respectively. According to the question, 11x Γ 13x = 20592 Or, 143xΒ² = 20592 Or, xΒ² = 144 Or, x = 12 (Since, βxβ cannot be negative in this case) Required difference = 13x β 11x = 2x = 2 Γ 12 = 24
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