SOLUTION: Block Model Approach. Jake is 3 years older than Kyla and 2 years younger than Larry. their total age is 41 years old. How old is Jake?

Algebra ->  Equations -> SOLUTION: Block Model Approach. Jake is 3 years older than Kyla and 2 years younger than Larry. their total age is 41 years old. How old is Jake?       Log On


   

Question 1166789: Block Model Approach.
Jake is 3 years older than Kyla and 2 years younger than Larry. their total age
is 41 years old. How old is Jake?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do another exactly like it
changing the numbers.

Jake is 4 years older than Kyla and 3 years younger than Larry. their total age
is 53 years old. How old is Jake?

Jake is 4 years older than Kyla
J = K+4

and [Jake is] 3 years younger than Larry. 
J = L-3

their total age is 53 years old. 
J+K+L = 53

system%28J=K%2B4%2CJ=L-3%2CJ%2BK%2BL=53%29

Solve the second equation for L

    J = L - 3
J + 3 = L
    L = J + 3

Use the first equation to substitute K + 4 for J in

    L = J + 3
    L = K + 4 + 3
    L = K + 7

Substitute K + 4 for J, and K + 7 for L in the third
equation of the system:

        J + K + L = 53
K + 4 + K + K + 7 = 53
          3K + 11 = 53
               3K = 42
                K = 14

Substitute 14 for K in
             L = K + 7
             L = 14 + 7
             L = 21

Substitute l4 for K in

             J = K + 4
             J = 14 + 4
             J = 18

How old is Jake? 
Jake = 18

Now solve yours the exact same way.

Edwin