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The ratio of Mangoes and Bananas in a garden is 9 ∶ 11 respectively. The average number of mangoes and bananas is 210. What is the difference between the number of Bananas and Mangoes in the garden?

The ratio of Mangoes and Bananas in a garden is 9 ∶ 11 respectively. The average number of mangoes and bananas is 210. What is the difference between the number of Bananas and Mangoes in the garden? Correct Answer 42

Given:

The ratio of Mangoes and Bananas is = 9 ∶ 11

Average number of mangoes and bananas = 210

Formula used:

Average = total number of mangoes and Bananas/2

Calculation:

Let the number of Mangoes = 9x

The number of Bananas = 11x

Now, the average number of Mangoes and Bananas is

⇒ (9x + 11x)/2 = 210

⇒ 20x = 210 × 2

⇒ x = 21

So, the number of mangoes = 9x = 9 × 21 = 189

the number of bananas = 11x = 11 × 21 = 231

⇒ The difference between the number of Bananas and Mangoes = 231 – 189 = 42

∴ The required difference is 42.

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