Question

present age of mother is 4 times the age of her daughter. after 5 years age of mother will become 3 times the age of daughter. Find the present age of daughter?​

Answer 1

Jyoti is 4x older than her daughter.

If daughter is a years old, then jyoti is 4a years old.

After 5years,

Daughter's age will be a+5 years and jyoti's age will be 4a+5 years old.

According to the condition given for their ages 5years hence, we have

Daughter's age= a+5 years

Then jyoti's age= 3(a+5) years

Now,

We have two different terms for jyoti's age which both denote jyoti's age. So we can simply equate them and solve.

4a+5=3(a+5)

Using BODMAS,

4a+5=3a+15

4a-3a=15–5

a=10.

Hence, the daughter's present age is 10 years. We know that because that's what we assigned to 'a' in the beginning.

The question asked is the current age of both daughter and jyoti. The daughter is clearly 10 years old. For the present age of jyoti, we simply follow the first line of the question, that jyoti is 4x the present age of her daughter.

Jyoti's age will be 4*daughter's age

Hence 4*10= 40 years.

So our required answers for the given question are:

Daughter's age- 10 years

Jyoti's age - 40 years.

Answer 2

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