Question

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

Answer 1

Answer:

The answer is 47.5 and 72.5

Step-by-step 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

Answer 2

Answer:

The numbers are 47.5 and 72.5

Step-by-step 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):

$x=\frac{145}{2}\\x=72.5$

Therefore...

$x-25=72.5-25=47.5$