Question

mohita's mother is four times as old as mohitha. after 5 years, her mother will be three times as old as she will be then. what their present ages. please help

Answer 1

Answer:

10 years and 40 years

Step-by-step explanation:

Let the age of Mohita be x

Let her mother's age be 4x

After 5 years, age of Mohita = x + 5

After 5 years, age of her mother = 4x + 5

After 5 years, her mother will be three times as old as she will be then, the equation will be 3(x + 5)

According to the question,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

Present age of Mohita => x years

=> 10 years

Present age of Mohita's mother => 4x years

=> 4 × 10

=> 40 years

∴ The ages of Mohita and her mother is 10 years and 40 years respectively.

Answer 2

Let the age of Mohita be x
Age of Mother =4x
After 5 yrs
(×+5)= (4×+5)
Now it is gven mother is 3 times as mohita
》3 [×+5)=4×+5
3×+15=4×+5
3×-4×=5-15
-×=-10
×=10
Mothers age is 40.yrs
Mohitas age 10 yrs. respectively.