Question

shobo's mother's present age is six times shobo's age.shobo's age five years from now will be one third of his mother's present age.what are their present ages?​

Answer 1

$\huge\sf\underline{Answer}$

The age of Shobo is 5 years and the age of Shobo's mother is 30 years.

Explanation:-

Let the age of Shobo be = x

Then, the age of his mother will be = 6x

After five years,

Age of Shobo = (x + 5)

It is given that after five years, Shobo's age will be equal to 1/3 rd of his mother age now. Therefore:-

According to question,

$= > x + 5 = \dfrac{1}{3} \times 6x$

$= > x + 5 = \dfrac{6x}{3}$

$= > x + 5 = 2x$

$= > x - 2x = - 5$

$= > - x = - 5$

$= > x = 5$

Hence, the age of Shobo is 5 years.

And the age of Shobo's mother=> 6x = (6×5) yrs = 30 years.

Answer 2

• Let present age of Shobo be (M) years.

» Shobo's mother's present age is six times shobo's age.

• Present age of Shobo's mother = (6M) years.

» Five years from now Shobo will be one third of his mother's present age.

• Age of Shobo = (M + 5) years

• Mother's age = $\frac{1}{3}$ × 6M

A.T.Q.

$\implies$ M + 5 = $\dfrac{1}{3}$ × 6M

$\implies$ M + 5 = 2M

$\implies$ 5 = 2M - M

$\implies$ $\boxed{M \:= \:5}$

_____________________________

• $\textbf{Present age of Shobo}$ = M

= $\textbf{5 years}$

• $\textbf{Present age of Shobo's mother}$ = 6M = 6(5)

= $\textbf{30 years}$

_______________ $\bold{[ANSWER]}$