Question

How to make 2 numbers add up to 120 but one of the numbers is 25 more than the other.

Answer 1

The numbers are 47.5 and 72.5

Explanation:

Let "x" represent the larger number, then the smaller number would be equivalent to:

`x-25`

Larger Number + Smaller Number = 120

Therefore...

`x+x-25=120`

Combine like terms:

`2x-25=120`

Add 25 to both sides (note we are utilizing the Addition Property of Equality which essentially states that if you add a value to one side of the equation, you must add it to the other side as well):

`2x=120+25\\2x=145`

Divide both sides by 2 (note we are now utilizing the Division Property of Equality which essentially states that if you divide a value from one side of the equation, you must divide it from the other side as well; the same as the Addition Property of Equality, but with division instead):

`x=(145)/(2)\\x=72.5`

Therefore...

`x-25=72.5-25=47.5`

Answer 2

The answer is 47.5 and 72.5

Explanation:

Given;

• The sum of two numbers is equal to 120.

So,

Let the number be x and the other number be (x + 25).

Now,

x + (x + 25) = 120

x + x + 25 = 120

2x + 25 = 120

2x + 25 – 25 = 120 – 25

2x = 95

2x/2 = 95/2

x = 47.5

Thus, The number be x is equal to 47.5 and other which is more 25 than other number is (47.5 + 25) = 72.5

-TheUnknownScientist 72