1981 AHSME Problems/Problem 4
If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, the the larger of two numbers is:
Let the smaller number be and the larger number be We can use the information given in the problem to write two equations:
1) Three times the larger of two numbers is four times the smaller.
2) The difference between the number is 8.
Solving this system of equation yields and The answer is