To solve this, we will folow the steps below:
Let the two numbers be; x and x-19
The question says the sum of the two numbers is 89
That is;
x + (x-19) = 89
x+ x - 19 = 89
2x - 19 = 89
add 19 to both-side of the equation
2x - 19 + 19 = 89 + 19
2x = 108
divide both-side of the equation by 2
2x/2 = 108/2
x= 54
One of the number is 54 and the other number is
x-19 = 54 - 19 =35
The larger number is 54
The smaller number is 35