Question

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present age?​

Answer 1

Answer:

Present age of

(i) Shobo = 5

(ii) Shobo's mother = 30

Step-by-step explanation:

Present age of

(i) Shobo = x

(ii) Shobo's mother = 6x

Shobo's age after 5 years = $\frac{6x}{3}$ =

x + 5 =  $\frac{6x}{3}$

3x + 15 = 6x

15 = 6x-3x

15 = 3x

x = 5

6x = 6 * 5 = 30

Answer 2

• Shobo's present age is 5 years.
• Shobo's mother present age is 30 years.

Step-by-step explanation:

To find:-

• Present age of shobo's.
• Present age of shobo's mother.

Solution:-

Let, Shobo's age be 'x'.

And Shobo's mother's age be '6x'.

After five years

Shobo's age = x + 5

• Shobo's age five years from now will become 1/3 of his mother's present age.

According to question :

➝ x + 5 = 1/3 × 6x

➝ x + 5 = 6x/3

• Cross multiply.

➝ 3(x + 5) = 6x

➝ 3x + 15 = 6x

➝ 15 = 6x - 3x

➝ 15 = 3x

➝ 15/3 = x

➝ 5 = x

Or, x = 5

We have taken Shobo's present age be x and x is 5. So, Shobo's present age is 5 years.

We have also taken his mother's age be 6x.

So, 6 × 5 = 30

Thus, Shobo's mother present age is 30 years.