Question

the product of Ram's age 5 years ago and his age 10 years later will be 16 then determine Ram's present age ?

Answer 1

Given ➡

• The product of the age of ram before 5 years and his age after 10 years is 16

To find ➡

• The present age of Ram = ?

$\huge\mathfb{Solution :-}$

Let the present age of Ram be :- x

According to question,

( x - 5 ) ( x + 10 ) = 16

➡ x² - 5x + 10x - 50 = 16

➡ x² + 5x - 50 - 16 = 0

➡ x² + 5x - 66 = 0

➡ x² + ( 11 - 6 )x - 66 = 0

➡ x² + 11x - 6x - 66 = 0

➡ x ( x + 11 ) - 6 ( x + 11 ) = 0

➡ ( x - 6 ) ( x + 11 ) = 0

Therefore ,

x - 6 = 0

➡ x = 6

x + 11 = 0

➡ x = - 11

Now , age can never be negative ( - ) so the value of x or the age of Ram will be = 6

$\huge\mathfb{Answer :- }$

The present age of Ram is 6 years .

Answer 2

Given :

• The product of Ram's age 5 years ago and His's age 10 years later = 16 years.

To find :

• Ram's present age =?

Step-by-step explanation :

It is Given that,

The product of Ram's age 5 years ago and His's age 10 years later = 16 years.

Now,

Let the present age of Ram's be, x years.

Then, the age of Ram's 5 years ago be, x - 5 years.

And, then his age after 10 years be, x + 10 years

According to the question,

( x - 5 ) ( x + 10 ) = 16

x² - 5x + 10x - 50 = 16

x² + 5x - 50 - 16 = 0

x² + 5x - 66 = 0

x² + ( 11 - 6 )x - 66 = 0

x² + 11x - 6x - 66 = 0

x ( x + 11 ) - 6 ( x + 11 ) = 0

( x - 6 ) ( x + 11 ) = 0

Now,

Value of x,

x - 6 = 0

x = 6

Or, x + 11 = 0

x = - 11. [age can't be negative]

Therefore, We got the value of, x = 6 years.

Hence, the present age of Ram's = 6 years.