Verified answer

Let the age of her father right now be x.

Lawanda is 27 years younger, or x-27.

In five years, Lawanda is x-22 years old and her father is x+5 years old... and the sum of their ages will be 49.

x - 22 + x + 5 = 49

2x - 17 = 49

2x = 66

x = 33

Her father is 33 years old right now.

Call the ages now L and F

Lawanda is 27 years younger than father works out as

L + 27 = F

In 5 years their ages with be L + 5 and F + 5 so the sum of their ages in 5 years is

L + 5 + F + 5 or

L + F + 10 this sum is 49, so we can say

L + F + 10 = 49 which we can simplify into

L + F = 39

We want to find F, so we need to eliminate L from the equations.

Take L + F = 39 and turn it into

L = 39 - F

Now go back to

L + 27 = F and replace L with 39 - F to get

39 - F + 27 = F combine the constants to get

66 - F = F add F to both sides to get

66 = F + F = 2F and divide both sides by 2 to get

33 = F.

Father is 33, Lawanda is 27 years younger, so she must be 6. In 5 years she will be 11 and father will be 38 and 11 + 38 = 49.

f= father's age

f-27 = lawanda's age

(f+5) + (f-27+5) =49

2f +10-27 =49

f=33 yoa

the dad is 33, lawnda is 33-27 =6 yoa

in five years the dad is 38 and lawnda is 11, 38+11= 49

Lawanda's father is 5 years older now. ;)

L = F - 27

(L + 5) + (F + 5) = 49

L + F = 39

F - 27 + F = 39

2F = 66

F = 33

(f) for her father (l) for her

f-27=l

l+f=39

39-27=12

12/2=6

6+27=33

33+6=39

therefore

l=6

f=33