Question

CAN ANYONE HELP ME PLEASE? Two numbers total of 52 and have a difference of 30. Find the two numbers. The larger number is ? and the smaller number is ?

Answer 1

41 and 11.

Explanation:

Let's say the 2 numbers are x and y.

Since they add up to 52, x + y = 52.

Seeing as the difference is 30, x - y = 30 assuming x is the larger number.

We have left:

x + y = 52

x - y = 30

By solving these simultaneous equations (adding the 2 equations together for instance), we are left with 2x = 82

Therefore x = 41.

Since x + y = 52

41 + y = 52

Therefore y = 11

Therefore we have: the larger number is 41 and the smaller number is 11.