The sum of two numbers is 92. One eighth of the larger number plus one third of the smaller number is 19. Find the numbers.

The numbers 'x' and 'y' are:

Step-by-step explanation:

Let 'x' and 'y' be the two numbers

As the sum of the two numbers is 92.

so

Given that One-eighth of the larger number plus one-third of the smaller number is 19.

so

now solving both equations to determine the numbers 'x' and 'y'.

solve for y

Thus, the numbers 'x' and 'y' are: