Answer:
The numbers are 17 and 12.
Step-by-step explanation:
Given : The sum of two numbers is 29 and their difference is 5.
To find : What are the two numbers?
Solution :
Let the number be x and y.
The sum of two numbers is 29.
i.e.
.....(1)
The difference of two numbers is 5.
i.e.
....(2)
Solving equation (1) and (2) by adding them,
![x+y+x-y=29+5](https://tex.z-dn.net/?f=x%2By%2Bx-y%3D29%2B5)
![2x=34](https://tex.z-dn.net/?f=2x%3D34)
![x=17](https://tex.z-dn.net/?f=x%3D17)
Substitute in equation (1),
![x+y=29](https://tex.z-dn.net/?f=x%2By%3D29)
![17+y=29](https://tex.z-dn.net/?f=17%2By%3D29)
![y=29-17](https://tex.z-dn.net/?f=y%3D29-17)
![y=12](https://tex.z-dn.net/?f=y%3D12)
Therefore, The numbers are 17 and 12.