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The ratio of ages of two persons A and B is 3∶ 4 and that of ages of B and C is 4∶ 5. If the average of all three is 40 years. What is B's age?1. 20 years2. 30 years3. 40 years4. 50 years |
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Answer» Correct Answer - Option 3 : 40 years Given: Average age = 40 years Formula used: Average = Sum of all the terms/Total number of terms Calculation: A∶ B =3∶ 4 And, B∶C =4∶5 Then, A∶ B∶ C = 3∶ 4∶ 5 Let the age of A, B and C be 3x, 4x and 5x Sum of ages of all the persons = 3x + 4x + 5x = 12x Average = 12x/3 = 4x ⇒ 4x = 40 ⇒ x = 10 ∴ The age of B is 40 |
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