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.
