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 t
2 answers:
Answer: 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
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