Rema is older than ken. The difference of their age is 12 and the sum of their ages is 50. Find the age of each

Question

Solve the system using any method graphing,substitution or elimimation

Answer 1

Hi Nikki,

 

I will use elimination. The other two methods are equally easy to use, but elimination is easier, in this case. Let's say r is Rema's age and k is Ken's age.

 

r > k (Important to know this for future equation set-ups.)

 

r - k = 12

r + k = 50

 

Add the two equations together:

 

2r = 62 → r = 31

 

Plugging it back to any of my previous equations:

 

31 - k = 12 → k = 19

 

Hope this helps!