Answer :

let x and y be the integers

we are told that 4x = 3y + 23  EQN (1)

and x = y + 1  EQN (2)

We have two unknowns and two equations meaning we can solve this system.

Substituting (2) into (1) we get 

4(y+1) = 3y + 23

which solves to y = 19 which in turn means x = 20

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