Question

One number is six less than another one, and their sum is 16.

A) 6 and 10
B) 9 and 7
C) 8 and 8
D) 4 and 12

Answer 1

To solve the problem, set up a system of equations and solve for the values of the numbers.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.

Let's assume that one number is x, and the other number is y.

From the given information, we have the following equations:

x = y - 6 and x + y = 16

We can solve this system of equations by substituting the value of x from the first equation into the second equation:

(y - 6) + y = 16

2y - 6 = 16

2y = 22

y = 11

Substituting the value of y back into the first equation:

x = 11 - 6

x = 5

Therefore, the numbers are 5 and 11.