96.0k views
2 votes
The sum of two numbers is 180. If one number is 40% more than the other, find the numbers

User Gvkv
by
7.9k points

2 Answers

4 votes

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

User Pedrobern
by
8.2k points
7 votes

Answer:

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!

User Adrian Russell
by
9.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories