The task is to generate the correct answer for a given math problem.
--------
Question: Problem: twice the larger of two numbers is 3 more than 5 times the smaller , and the sum of 4 times the larger and 3 times the smaller is 71 . what are the numbers ?

Answer: 14


Question: Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction q of the area of triangle abc is the area of triangle xyz ?

Answer: 1 / 9


Question: Problem: if k and w are the dimensions of a rectangle that has area 48 , and if k and w are integers such that k > w , what is the total number of possible values of k ?

Answer:
four