At present the sum of Geetha's age and her daughter's age is 44 years. After 2 years, Geetha's age will be three times that of her daughter's age. Find their present ages.

Geetha is 32.5 years old

her daughter is 11.5 years old

Step-by-step explanation:

sum of their ages is 44 years

G + D = 44

in two years, Geetha's age is 3 times her daughters age. (to find present age, subtract 2)

G = 3D - 2

substitute

(3D - 2) + D = 44

combine like terms

4D - 2 = 46

4D = 46

D = 11.5

plug in D to either equation

G + (11.5) = 44

G = 32.5

G = 3(11.5) - 2

G = 32.5