the sum of two numbers is 16, and their difference is 2. write system of linear equations and solve the resulting system with x the larger number and y the smaller,

Question

anonymous · Answer

I know what the first equation x+y=20 and x-y = 4. with the larger number being 20 and smaller 4. Is this correct

anonymous · Answer

hmm explain to me where the 20 and the 4 comes from

anonymous · Answer

the problem says let x be the larger number and y the smaller number

anonymous · Answer

"The sum of two numbers is 16"

$$x+y=16$$

"their difference is 2"

$$x-y=2$$

anonymous · Answer

the sum of two number should be 20, and difference is 4, I had the numbers wrong

anonymous · Answer

ah excuse me, in this case you did perfect.

radar · Answer

Why are you saying the sum must be 20?  The problem states the sum as 16.

anonymous · Answer

@radar  she just corrected herself.

"the sum of two number should be 20, and difference is 4, I had the numbers wrong"

radar · Answer

Oh @Spacelimbus, I see, you still deserve a medal, she can substitute the 20 for the 16 and 4 for the 2.

anonymous · Answer

Thanks a lot sir.