Respuesta :

Answer:

We have 2 values to work with, both in terms of x. the first value is just x, our first number. The second value is 40% higher than the original.

x + (x + .4x) = 180

x + 1.4x = 180

2.4x = 180

x = 180/2.4

x = 75 1.4(75) = 105

Check:

75 * .4 = 30

75 + 30 = 105

Answer:

75, 105

Step-by-step explanation:

Let's let the two numbers be a and b.

The sum of them is 180. Thus:

[tex]a+b=180[/tex]

One of the number is 40% more than the other. In other words, let's let a be the bigger number:

[tex]a=1.4b[/tex]

Substitute this into the first equation:

[tex]1.4b+b=180[/tex]

Combine like terms:

[tex]2.4b=180[/tex]

Divide everything by 2.4:

[tex]b=75[/tex]

So, b is 75.

And their sum is 180. Thus, a is 180-75 or 105.

And we're done!