The sum of two numbers is 133. One number is 25% smaller than the other one. Find the numbers.

76 and 57

Step-by-step explanation:

Let's call the numbers x and y. We must make two equations, the first based on:

"The sum of two numbers is 133. " Thus:

and the other one based on:

" One number is 25% smaller than the other one" Thus:

this means that x is 75% of y, in other words, x is 25% smaller than y.

we substitute the second equation into the first equation:

and solve for y:

and now that we know the value of y, we substitute it in the equation  to find the value of x:

the numbers are: 76 and 57

step-by-step explanation: