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!