Answer :

To find the sum of the three numbers in the ratio 3:5:6 where the middle number is 200, we first solve for x and then calculate each number. Their sum is 560.

Given that the three numbers are in the ratio of 3:5:6 and the middle number is 200, we can represent the numbers as 3x, 5x, and 6x respectively. Since the middle number is 200, we have:

5x = 200

We can solve for x by dividing both sides by 5:

x = 200 / 5 = 40

Now we can find the actual numbers:

  • The first number: 3x = 3 * 40 = 120
  • The middle number: 5x = 5 * 40 = 200
  • The third number: 6x = 6 * 40 = 240

The sum of the three numbers is:

120 + 200 + 240 = 560

Therefore, the sum of the three numbers is 560.

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