two numbers add to 70. one of the numbers is 16 more than the other. find both numbers

Question

i have no idea how to set up the equations so pls help lol

Answer 1

So call one number X and the second number X + 16

 

They add to 70 so,

X + X + 16 = 70

2X = 54

X = 27

So the numbers are 27 and 43

Answer 2

sounds as if you know you need two equations for two unknowns!  Good!!!

 

x + y = 70  That's the first equation.

 

x - 16 = y  That's the second equation.

 

Using the second equation for substitution into the first equation, get:

 

x + y = 70 or x + x - 16 = 70

 

Solve for x:

 

2x = 86

 

x = 43 and y =27