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 ages ?

Answer 1

Answer:

Step-by-step explanation:

Hi ,

At present,

_________

Shobo's age = x years

His mother's age = 6 times of

Shobo's age

= 6x years

Five years from now

________________

Shobo's age = ( x + 5 ) years

According to the problem given,

x + 5 = one by third of his mother's

present age

x + 5 = 6x / 3

x + 5 = 2x

5 = 2x - x

5 = x

Therefore ,

Shobo's present age = x = 5 years

His mother's age = 6x

= 6 × 5

= 30 years

I hope this helps you.

:)

Answer 2

Given:

• Shobo's age = x
• Shobo's mother's age = 6x
• Shobo's age after 5 years = x + 5

To Find:

The present age of Shobo and his mother.

Solution:

Let us consider the present age of Shobo as x, then age of her mother will be 6x

Shobo's age after 5 years = x + 5

According to the question,

$(x+5)=\frac{1}{3} \times 6x\\\implies x+5= 2x\\\implies 2x-x=5\\\implies x=5$

Present age of Shobo = $x= \boxed{5 \:years}$

Present age of Shobo's mother = $6x=\boxed{30 \: years}$

Thus, the age of Shobo is 5, and his mother's is 30 years.