Question

Smita's mother is 34 years old . Two years from now mother's age will be 4 times smita's present age .what is smita's present age

Answer 1

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

Smita's mother is 34 years old. Two years from now mother's age will be 4 times Smita's present age.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The present age of Smita.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

Let the present age of Smita be r years.

A/q

$\underbrace{\bf{After\;4\:years\::}}}}$

The age of Smita's mother = (34+2) years

The age of Smita's = (r+2) years

So;

$\longrightarrow\sf{4(r+2)=(34+2)}\\\\\longrightarrow\sf{4r+8=36}\\\\\longrightarrow\sf{4r=36-8}\\\\\longrightarrow\sf{4r=28}\\\\\longrightarrow\sf{r=\cancel{\dfrac{28}{4} }}\\\\\longrightarrow\sf{\orange{r=7\:years}}$

Thus;

$\underbrace{\sf{The\:present\:age\:of\:Smita's=\boxed{\bf{7\:years}}}}}$

Answer 2

Correct Question -

Smita's mother is 34 years old .

Two years from now mother's age will be 4 times her age .

What is smita's present age ?

SoLuTiOn -

In the above Question, the following information is given -

Smita's mother is 34 years old .

Two years from now mother's age will be 4 times smita's present age .

Let us assume that the present age of Smita is x years .

The present age of Smita ' s mother is 34 years .

After 2 years -

Age Of Smita = x + 2 .

Age Of her mother = 34 + 2 = 36 years.

Now, we have the following condition -

Two years from now mother's age will be 4 times smita's present age .

So,

36 = 4 × ( x + 2 )

=> 4x + 8 = 36

=> 4x = 28

=> x = 7 years .

Hence the present age of Smita is 7 years .

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