Question

The difference of a number and 16 is the equal to 45 what is the value of that number? Plss show work and explain

Answer 1

So your two numbers are 10 and 25.

Step-by-step explanation:

Call one of these numbers x and one of them y.

We know x+y = 35

We know x-y = 15

Add y to both sides of the second equation to get x=15 + y

Then plug this into the first equation as x --> (15 + y) + y = 35

This simplifies to 15+2y=35 by adding the y's.

We can subtract 15 from both sides to get 2y=35-15, which is 2y=20. Then divide both sides by 2 to get y=10. This is one of the numbers!

Then plug this back in to either equation above. I'll use the first equation that is x + y = 35. y=10, so x+10=35. subtract 10 from both sides to get x=35-10, so x=25.