The sum of three numbers is 8. Twice the smallest is 2 less than the largest, while the sum of the largest and smallest is 5. Use a linear system in three variables to find the three numbers.

Thank you for the opportunity to help you with your question!

Let x = the smallest number

Let y = the middle number

Let z = the largest number

then,

x+y+z = 8

2x = z - 2

x + z = 5

Using substitution,

2(5-z) = z - 2

10 - 2z = z - 2

3z = 12

z = 4

x = 5 - 4 = 1

y = 8 - 4 - 1 = 3

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up