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

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  Verified