Question

Shobhito mother present age is six times shob present age shob age five years from now will be one third of his mother present age what are their present age

Answer 1

AnswEr:-

Present age of Shobito = 5 years.

Present age of his mother = 30 years.

$\rule{200}{1}$

Correct question:-

Shobito's mother's present age is six times Shobito's present age.Five years from now,he will be one third of his mother's present age.What are thir present ages?

Solution:-

Let present age of shobito be y years & present age of his mother be 6y years.

Case 1:-

• After 5 years,shobito's age = 1/3 of shobito's mother's present age.

After 5 years,age of Shobito will be (y + 5) years.

According to question:-

↠ y + 5 = 1/3 of 6y

↠ y + 5 = 2y

↠ 2y - y = 5

↠ y = 5 years.

⋆ PRESENT AGES:-

⇒Age of Shobito = y = 5 years.

⇒Age of his mother = 6y = 6(5) =30 years

Therefore,

Present age of Shobito & his mother are 5 years & 30 years respectively.

Answer 2

Answer:

Let the Present Age of Shobhito be n yrs, and so his Mother Present Age be 6n yrs.

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$\dashrightarrow\tt\:\:Shobhito_{After\:5\:yrs}=One\:third\:of\:Mother_{Present\:Age}\\\\\\\dashrightarrow\tt\:\:(n+5)=\dfrac{1}{3}\times6n\\\\\\\dashrightarrow\tt\:\:n+5=2n\\\\\\\dashrightarrow\tt\:\:5=2n-n\\\\\\\dashrightarrow\tt\:\:n=5$

$\rule{160}{1}$

$\underline{\bf{\dag}\:\:\textsf{Present Ages :}}$

$:\implies\tt Shobhito=n= \underline{\boxed{\textsf{\textbf{5 years}}}}\\\\\\:\implies\tt Mother=6n=6(5)= \underline{\boxed{\textsf{\textbf{30 years}}}}$