Question

Riya's mother is 4 times of
Riya's age. 5 years hence their ages will be 21 more than Riya's age. find their present ages​

Answer 1

Answer:

Present age of riya is 7 years.

And

Present age of riya's mother is 28 years.

Step-by-step explanation:

Let the present age of riya be x.

Then,.

Present age of riya's age is 4x

[ because it is given that, age of riya's mother is four times than age of riya]

After 5 years

Age of riya = (x + 5) years

Age of riya's mother = (4x + 5) years

Given - 5 years hence, age of riya's mother is 21 more than riya's age.

According to the question

(4x + 5) = (x + 5 + 21)

4x + 5 = x + 26

4x - x = 26 - 5

3x = 21

x = 21/3 years

x = 7 years

4x = 4 × 7 years = 28 years

Present age of riya = x = 7 years

Present age of riya's mother = 4x = 28 years

Hence,

Present age of riya = x = 7 years

And

Present age of riya's mother = 4x = 28 years