Let the two numbers be x and y.

According to question -

x + y = 137.....(1)

x - y = 43.....(2)

Adding equations (1) and (2) , we get -

2x = 180

∴ x = 90

substituting the value of x in equation (2), we get -

y = 90 - 43 = 47

Thus, the numbers are 90 and 47.