Question

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

Answer 1

76 and 57

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:

`x+y=133`

and the other one based on:

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

`x=0.75y`

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:

`x+y=133`

`0.75y+y=133\\`

and solve for y:

`1.75y=133\\y=133/1.75\\y=76`

and now that we know the value of y, we substitute it in the equation
`x=0.75y` to find the value of x:

`x=0.75(76)\\x=57`

the numbers are: 76 and 57