Question

Mother 's present age is thrice her daughter's age 15 years hence mother's age will be twice her daughter's age at that time find their present age

Answer 1

There are some corrections in your question:

Mother is thrice as old as her daughter's age. 15 years hence, mother will be twice as old as her daughter's age. Find their present ages.

Answer:

Mother's age = 30 years

Daughter's age = 10 years

Step-by-step explanation:

Step 1 : Define x

Let the present age of daughter be x years

Given, mother is thrice the age of her daughter.

Let the present age of mother be 3x years

After 15 years, age of mother = 3x + 15 and age of daughter = x + 15

After 15 years, mother will be twice the age of her daughter = 2(x + 10)

Step 2 : Find the value of x

According to the question,

3x + 10 = 2(x + 10)

=> 3x + 10 = 2x + 20

=> 3x - 2x = 20 - 10

=> x = 10

Step 3 : Find their present ages

Present age of daughter => x years

=> 10 years

Present age of mother => 3x

=> 3 * 10

=> 30 years

Answer 2

here is your answer OK ☺☺☺☺☺☺☺☺

let the present time age of daughter X

so given in this question thrice to daughter so mother age= (3x)

in this question also said about 15 years after so we both in added (x+15(3x+15)

after 15 years mother age twice to daughter so 2(x+10)

according to question we going....................

3x +10= 2(x+10)

3x+10=2x +20

3x-2x = 20-10
X = 10

so we present age found so daughter = 10

so mother thrice so 10 X 3 = 30

thanks for asking this question