Answer:

F = 4K

Age of Father now which is 4 times that of Karen

K = Age of Karen now

Their ages after 7 years,

F + 7

K + 7

Condition:

(F+7) + (K+7) = 54

but don't forget to include,

F = 4K

so,

(F+7) + (K+7) = 54

(4K +7) + (K+7) = 54

5K + 14 = 54

5K = 54 - 14

5K = 40

K = 8

So age of father is 4K,

F = 4K

F = 4(8)

F = 32

So the present age of Karen is 8 years old while the present age of the father is 32 years old.

Proof:

check if the sum of their ages after 7 years is equal to 54.

so their ages after 7 years,

8+7 = 15

32 + 7 = 39

and their sum is,

15 + 39 = 54

Therefore our calculations are verified and correct.

“Don’t let what you cannot do interfere with what you can do.”

~ John R. Wooden