Mathematics
Grade10
Easy

Question

The sum of two numbers is 14, and their difference is 2. Find the number.

  1. 2, 4                                      
  2. 8, 6
  3. 6, 8
  4. 1, 2

Hint:

An equation with the maximum order of 1 and an equation of a straight line is called the linear equation. 

The correct answer is: 8, 6


    Step 1 of 1:
    We have given that,
    Sum of two numbers = 14
    Difference of two numbers = 2
    Let the numbers be x and y (x>y)
    x + y = 14…………………………….. 1
    x - y =  2 ………………………….. 2
    From 1
    x + y = 14
    x  = 14 – y
    Substituting x in 2nd equation,
    14 -  y – y = 2
    14 – 2y = 2
    -2y = -12
    y = 6
    Substituting y in 1st equation,
    x + 6 = 14
    x = 8

    The substitution method is the algebraic method to solve simultaneous linear equations

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