The sum of two numbers is 84. If four times the smaller number is subtracted from the larger number the result is 14. Find the two numbers

70 and 14

Step-by-step explanation:

Let the bigger number be x and the smaller number be y , then from the first statement

From the second statement :

four times the smaller number means x , which will be , so

four times the smaller number is subtracted from the larger number the result is 14 means :

combining the two equations we have :

........................... equation 1

.......................... equation 2

solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is :

.......................... equation 3

substitute into equation 2 , that is

therefore :

substitute into equation 3 to find the value of x

check :

Therefore : the bigger number is 70 and the smaller number is 14

22

step-by-step explanation:

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step-by-step explanation: