Answer:
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:
[tex]x+y=133[/tex]
and the other one based on:
" One number is 25% smaller than the other one" Thus:
[tex]x=0.75y[/tex]
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:
[tex]x+y=133[/tex]
[tex]0.75y+y=133\\[/tex]
and solve for y:
[tex]1.75y=133\\y=133/1.75\\y=76[/tex]
and now that we know the value of y, we substitute it in the equation [tex]x=0.75y[/tex] to find the value of x:
[tex]x=0.75(76)\\x=57[/tex]
the numbers are: 76 and 57
