Direction : Read the following questions carefully and choose the right answer. Out of the three numbers, the ratio between the first and the second number is 5:6 and the ratio between the second and the third number is 15:16. If the difference between the first and the third number is 700, find the average of all the numbers.

The combined ratio of the three numbers is found by making the second term common, so the ratio of the first to the second is 25:30 and the second to the third is 30:32. This gives the combined ratio of the three numbers as 25 : 30 : 32. Let the numbers be 25x, 30x, and 32x, making the difference between the first and third number 32x minus 25x, which is 7x. Since 7x equals 700, x equals 100, making the numbers 2500, 3000, and 3200. The average is the sum of these three numbers divided by 3, which is 8700 divided by 3, resulting in 2900.

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