The sum of two numbers is 40 and their difference is 10

15 and 25

Step-by-step explanation:

15 plus 25 equals 40,

25 minus 15 equals 10.

this could be solved algebraically using a system of equations.

Let a = the first number

Let b = the second number

Our two equations using the information given in the question:

a + b = 40

b - a = 10

Isolate for one of the variables in either equation, then plug that into the other one:

b = a + 10

a + (a + 10) = 40

Now solve for a:

2a + 10 = 40

2a = 30

a = 15

Now that you know what a is, plug it into one of the original equations and solve for b.

a + b = 40

(15) + b = 40

b = 25

And there you have it, a = 15 and b = 25.