The sum of two numbers is 4 1/2. The difference is 3 1/4. Find the numbers.

let the two number is x and y

x + y = 4 1/2 ... (i)

x - y = 3 1/4 ... (ii)

adding question (i) and (ii)

x + y = 9/2

x - y = 31/4

=> 2x = 31/4

x = 8/31

substituting the value x in equation 1

8/31 + y = 9 / 2

y = 9/2 - 8/31

y = 203/62

the value of x = 8/31

y = 203/62