the sum if three integers x, y, z is 12. the sum of x and z is 9.The integer x is 5 times of integer y then the value if x is:​

1 thought on “the sum if three integers x, y, z is 12. the sum of x and z is 9.The integer x is 5 times of integer y then the value if x is:​”

1. Given:

   3 integers such that

   • x + y + z = 12 —– [Equation 1]
   • x + z = 9 —– [Equation 2]
   • x = 5y —– [Equation 3]

   To find:

   Value of x = ?

   Solution:

   Consider the first Equation.

   x + y + z = 12

   Grouping (x + z),

   (x + z) + y = 12

   From Equation 2, we know the value of (x + z). So

   9 + y = 12

   ➝ y = 12 – 9

   ➝ y = 3

   The value of x is 5 times the value of y

   x = 5y

   ➟ x = 5(3)

   ➣ x = 15

   ∴ The value of x is 15

   KNOW MORE:

   • The given question is an example of linear pair of equations in 3 variables because there are 3 variables namely x, y and z

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