Three numbers are in the ratio 5 ∶ 9 ∶ 11, the second number is 3

1.	Three numbers are in the ratio 5 ∶ 9 ∶ 11, the second number is 3 greater than the average of first and third number. Find the largest number of the three numbers?1. 272. 333. 464. 525. 44
Answer» Correct Answer - Option 2 : 33 Given: The ratio of three numbers = 5 ∶ 9 ∶ 11 The second number is greater than the average of first and third number by 3 Concept used: Average = (Total sum)/(Total numbers) Calculations: Let the numbers be 5x, 9x, and 11x respectively Average of first and third number = (5x + 11x)/2 = 8x According to question ⇒ 9x = 8x + 3 ⇒ x = 3 The largest number = 11x ⇒ 11 × 3 = 33 ∴ The largest number is 33

Three numbers are in the ratio 5 ∶ 9 ∶ 11, the second number is 3 greater than the average of first and third number. Find the largest number of the three numbers?1. 272. 333. 464. 525. 44

Answer» Correct Answer - Option 2 : 33

Given:

The ratio of three numbers = 5 ∶ 9 ∶ 11

The second number is greater than the average of first and third number by 3

Concept used:

Average = (Total sum)/(Total numbers)

Calculations:

Let the numbers be 5x, 9x, and 11x respectively

Average of first and third number = (5x + 11x)/2 = 8x

According to question

⇒ 9x = 8x + 3

⇒ x = 3

The largest number = 11x

⇒ 11 × 3 = 33

∴ The largest number is 33

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