i NEED CONSECUTIVE INTEGERS HELP!?

Consecutive means one is x and one is x+1. That's all you need to know to do these.

4 times the larger

4(x + 1)

exceeds 3 times the smaller

3x

by 23

4(x+1) = 3x + 23

4x + 4 = 3x + 23

x = 19

x + 1 = 20

well, since they're consecutive, the two numbers can be x and x+1.

then according to your thing, 4(x+1) = 3x + 23

4x + 4 = 3x + 23

x = 19

so the smaller number is 19, and the larger is 20.

translate to math language! let x be larger

4x = 3y + 23 but y is 1 less than x (they're consecutive)

so

4x = 3(x-1) + 23

4x = 3x -3 + 23

4x - 3x = 20

x = 20, so the other number is 19

let first integer = x

let second = x + 1

4(x+1) = 3x + 23

4x + 4 = 3x + 23

x = 19

19, 20

4(x+1)=23+3x

x=smaller int

x+1=next consecutive (larger)

4x+4=23+3x

x+4=23

x=19

x & (x+1) represent two consecutive integers.

4(x+1) = 3x + 23

Give x & (x+1) as answers.

(x+1)+x

4x+4=3x+23

x=19