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