Question 1202870
k = kim''s age
d = kim's dauaghter's age.
you get:
k/d = 5/2
(k-4)/(d-4) = 3/1
from k/d = 5/2, you get k = 5d/2
from (k-4)/(d-4) = 3/1, you get:
k = 3*(d-4) + 4 which becomes k = 3d-8.
this means that 5d/2 = 3d-8 because they are both equal to k.
multiply both sides of this equation by 2 to get 5d = 6d-16
solve for d to get d = 16
since k = 5d/2, you get k = 40
you now know that k = 40 and d = 16
k/d becomes 40/16 which is equal to 5/2.
(k-4)/(d-4) becomes 36/12 which is equal to 3/1.
all the ratios work out indicating the value of k and d are good.
since k = 40, then k + 6 = 46.
that's your answer.
kay will be 46 years old in 6 years.