Question

Two numbers have a sum of 35. Their difference is 15. What are the two numbers?

Answer 1

Arghh, why so complicated, the bot started nicely with
x + y = 35
x - y = 15
add them:
2x = 50
x = 25
in x+y= 35
25 + y = 35
y = 10

so, x = 25, y = 10

Answer 2

Let's call the larger number "x" and the smaller number "y." We know that:

x + y = 35 (because their sum is 35)

x - y = 15 (because their difference is 15)

Now we can use these two equations to solve for x and y. One way to do this is to add the two equations together:

(x + y) + (x - y) = 35 + 15

This simplifies to:

2x = 50

Now we can solve for x by dividing both sides by 2:

x = 25

We can substitute this value for x in either of the original equations to solve for y. Let's use the first equation:

x + y = 35

25 + y = 35

Subtracting 25 from both sides gives us:

y = 10

So the two numbers are 25 and 10.

Answer 3

I apologize for any confusion caused by the additional steps in my explanation. You are absolutely correct that the problem can be solved more simply by adding the two equations as you've shown. Thank you for clarifying!