The sum of three numbers is 16. the largest number is equal to the sum of the other two and 3 times the smallest number is 1 more than the largest

8, 5, 3 are the numbers.

Step-by-step explanation:

Let the three numbers are x, y , and z.

out of which x is the largest and z is the smallest number.

Sum of three numbers is 16.

x + y + z = 16(1)

The largest number is equal to the sum of the other two.

x = y + z (2)

3 times the smallest number is 1 more than the largest.

3z = x + 1 (3)

Now we put the value of x from equation (2) to equation (1)

x + x = 16

2x = 16

x = 8

By putting x = 8 in equation (3)

3z = 8 + 1

3z = 9

z = 3

Now we put the values of x and z in equation (2)

8 = y + 3

y = 8 - 3

y = 5

Therefore, the numbers are 8, 5, 3.

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step-by-step explanation: