Question

Zena and Mena are mother and daughter. The age of the mother, Zena, is three times that of her daughter, Mena. After 12 years, the age of the mother will be twice that of her daughter. What are the present ages of the daughter and mother?

Answer 1

Answer:

36 yrs old fir mom and 12yrs of child

Answer 2

Given

• The age of the mother is three times of her daughter.
• After 12 years, the age of the mother will be twice that of her daughter.

Explanation:

Let the present age of the daughter be x and the present age of the mother be 3x

After 12 Years,

• Daughter's Age = (x + 12) years
• Mother's age = (3x + 12) years

$\bigstar{\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \colon\implies{\sf{ 2(x+12)=(3x+12) }} \\ \\ \\ \colon\implies{\sf{ 2x + 24 = 3x + 12 }} \\ \\ \\ \colon\implies{\sf{ 24 - 12 = 3x - 2x }} \\ \\ \\ \colon\implies{\sf{ x = 12 }}$

Hence,

• Present age of Daughter = x = 12 years
• Present age of Mother = 3x = 3 × 12 = 36 years.