if the sum of two numbers is 53 and their difference is 25 what are the numbers

Question

 pls help

Answer 1

Hi Jill, let x represent one of the numbers and y the other number. Set up two equations to solve:

 

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

----------------

2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

 

You can check the numbers by substituting into the second equation.

 

Questions?

Answer 2

x and y are the numbers

x+y=53

x-y=25

add

2x=78

x=78/2

x=39

39+y=53

y=53-39

y=14

39 and 14 are the numbers

 

Answer 3

two numbers: x and y

Their sum:          x+y=53

difference:          x-y=25

I think you can solve this system of equations.