Question

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

Answer 1

:)

x = 8

Z = 7/3

y = 17/3

Answer 2

8, 5, 3 are the numbers.

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.