Four times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the larger of the two numbers?

Answer 1

b - 4a = 3 ----> b = 4a + 3

a + b = 31 ----> b = 31 - a

4a + 3 = 31 - a

5a = 28

a = 5.6

b = 31 - 5.6

b = 25.4