5. Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?
7. In an army selection process, the ratio of selected to unselected was 3:1. If 80 less had applied and 40 less selected, the ratio of selected to unselected would have been 4:1. How many candidates had applied for the process?