The sum of 2 numbers is 35. one number 23 more than the other. find the numbers.
Make two equations
The sum of 2 # is 35 : X+y=35
1 # 23 more than other : Y= x +23
In first equation substitute the second equation for y .
X+y =35
X+ (x+23)=35
Remove parenthesis
X+x+23= 35
Combine like terms
2x+23=35
Subtract 23 both sides
2x= 35-23
Divide both sides by 2
2x= 12
Solve 12/2
X=12/2
Answer for x
X=6
Now substitute your x answer into one original equation to solve for y.
x+y =35
6+y=35
Y= 35-6
Y= 29
To check substitute
X+y=35
29 +6 = 35
Your two numbers 29 and 6
I hope this helps