Question

Shobos mother present age is six times shobos present age. Shobos age five from now will be one third of his mother's present age. What are their present ages ?

Answer 1

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equations:

$M = 6S$

$S + 5 = \frac{1}{3}M$

where $S$ is the current age of Shobos and $M$ is the current age of his mother.

Substituting the first equation into the second will allow us to solve for $S$:

$S + 5 = \frac{1}{3}M$

$S + 5 = \frac{1}{3}(6S)$

$S + 5 = 2S$

$S = 5$

Substituting this value into the first equation gives us the age of the mother:

$M = 6S$

$M = 6(5)$

$M = 30$

Answer 2

Answer:

Present age of Shobo is 5 years and present age of Shobo's mother is 30 years.

Step-by-step explanation:

Given :-

• Shobo's mother's present age is 6 times of Shobo's present age.
• Shobo's age 5 from now will be 1/3 of his mother's present age.

To find :-

• Their present ages.

Solution :-

Consider,

• Shobo's present age = x years

★ Shobo's mother's present age is 6 times of Shobo's present age.

• Shobo's Mother's Present age = 6x years

Shobo's age 5 from now,

= (x+5) years

According to the question ,

$\to\sf{x+5=\dfrac{1}{3}\times\:6x}$

→ x + 5 = 2x

→ x-2x = -5

→ -x = -5

→ x = 5

★ Shobo's present age = 5 years

★ Shobo's mother's present age = 6×5 = 30 years.