The sum of 2 numbers is 35. one number 23 more than the other. find the numbers.

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

step-by-step explanation: