Question

The sum of two numbers is 180. If one number is 40% more than the other, find the numbers

Answer 1

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 2

75, 105

Explanation:

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

The sum of them is 180. Thus:

`a+b=180`

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

`a=1.4b`

Substitute this into the first equation:

`1.4b+b=180`

Combine like terms:

`2.4b=180`

Divide everything by 2.4:

`b=75`

So, b is 75.

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

And we're done!