Question

The persent age of Sreelata is 2/7th of Pinki's present age and seven years ago Pinki's age was 5 times the present age of Ronit. If after 18 vears Ronit will be 25 years old, then what is the present age (in years) of Sreelata ?

this is for you mathdude​

Answer 1

Question :-

The persent age of Sreelata is 2/7th of Pinki's present age and seven years ago, Pinki's age was 5 times the present age of Ronit. If after 18 years, Ronit will be 25 years old, then what is the present age (in years) of Sreelata ?

$\large\underline{\sf{Solution-}}$

Given that,

The persent age of Sreelata is 2/7th of Pinki's present age.

Seven years ago, Pinki's age was 5 times the present age of Ronit.

After 18 years, Ronit will be 25 years old.

Step :- 1

Let assume that present age of Ronit be x years.

So, after 18 years, Ronit age will be x + 18 years.

According to statement, after 18 years, Ronit will be 25 years old.

$\red{\rm \: x + 18 = 25}$

$\red{\rm \: x = 25 - 18}$

$\red{\rm\implies \: \boxed{ \rm{ \:\: x = 7 \: \: }}}$

So, Ronit present age is 7 years.

Step :- 2

Let assume that present age of Pinki be y years.

So, 7 years ago, her age was (y - 7) years

Now, given that seven years ago, Pinki age was 5 times the present age of Ronit.

$\green{ \sf \: y - 7 = 5x}$

On substituting the value of x, we get

$\green{ \sf \: y - 7 = 5 \times 7}$

$\green{ \sf \: y - 7 = 35}$

$\green{ \sf \: y = 35 + 7}$

$\green{ \rm\implies \:\boxed{ \rm{ \:\sf \: y = 42 \: \: }}}$

So, present age of Pinki is 42 years.

Step :- 3

Now, given that

$\blue{ \sf\: Present \: age \: of \: Sreelata = \dfrac{2}{7} \times Present \: age \: of \: Pinki \: }$

$\blue{ \sf\: Present \: age \: of \: Sreelata = \dfrac{2}{7} \times 42 \: }$

$\blue{ \sf\: Present \: age \: of \: Sreelata = 2 \times 6\: }$

$\blue{\rm\implies \:\boxed{ \rm{ \: \sf\: Present \: age \: of \: Sreelata = 12 \:years \:}} }$