Question

eighteen years from now madhav's will be seven times his present age. what is madhav's present age​

Answer 1

Answer :-

Present age of Madhav = 3 years.

Solution :-

Let the present age of madhav be x

Madhav's age after 18 years = x + 18

Seven times of Madhav's present age = 7(x) = 7x

Given that

Madhav's age after 18 years = Seven times of Madhav's present age

⇒ x + 18 = 7x

Transpose x to x to RHS

⇒ 18 = 7x - x

⇒ 18 = 6x

Transpose 6 to LHS

⇒ 18/6 = x

⇒ 3 = x

⇒ x = 3

Therefore Present age of Madhav is 3 years.

Verification :-

Let us check

x + 18 = 7x

Substitute x = 3 in the above equation

⇒ 3 + 18 = 7(3)

⇒ 21 = 21

Answer 2

Answer:

$\large{\underline{\boxed{\sf Madhav's \: age = 3 \: years }}}$

Step-by-step explanation:

Let the present age of madhav be x years.

The age of madhav after 18 years will be (x + 18) years.

Now,

Seven times madhav's present age = 7x.

According to the question ;

Madhav's age after 18 years = seven times his present age.

⇒ x + 18 = 7x

⇒ 7x - x = 18

⇒ 6x = 18

⇒ x = $\sf \dfrac{18}{6}$

⇒ x = 3

Hence, the present age of madhav is 3 years.

$\rule{300}{2}$

Verification ;

⇒ x + 18 = 7x

Putting the value of x in the above equation,

⇒ 3 + 18 = 7 * 3

⇒ 21 = 21

∴ LHS = RHS

Hence, the present age of madhav is 3 years.