Question

Ram's father is thrice as old as Ram was 2 years ago . five years from now Ram's father will be 6 years more than 2 times of rams age what is rams present age?​

Answer 1

Answer:

Ram is 17 years old and his father is 45 years old.

Step-by-step explanation:

Given :

Ram's father = thrice as old as Ram was 2 years ago

5 years from now = father will be 6 years more than 2 times of Ram's age

To find :

Ram's present age

Solution :

$\textbf{\small{\underline{Let the present ages be - }}}$

• Ram as x
• Father's age = 3(x - 2)

$\rule{300}{1.5}$

$\textbf{\small{\underline{Ages after 5 years - }}}$

• Ram as (x + 5)
• Father as 3(x - 2) + 5

★ $\boxed{\sf{3(x-2)+5=2(x+5)+6}}$

$\sf{\implies} \: 3(x-2)+5=2(x+5)+6 \\ \sf{\implies} \:3x - 6 + 5 = 2x + 10 + 6 \\ \sf{\implies} \:3x - 1 = 2x + 16 \\ \sf{\implies} \:3x - 2x = 16 + 1 \\ \sf{\implies} \:x = 17$

Ram's present age = 17 years

$\rule{300}{1.5}$

Father's present age -

$\sf{\implies} \:3(x - 2) \\ \sf{\implies} \:3(17 - 2) \\ \sf{\implies} \:3(15) \\ \sf{\implies} \:45$

Father's age = 45

$\therefore$ Ram is 17 years old and his father is 45 years old.

Answer 2

Answer :-

Present age of Ram is 17 years.

Explanation :-

Let the age of Ram be 'x' years

Age of Ram's father = Thrice the age of Ram 3 years ago = 3(x - 2)

Age of Ram after 5 years = (x + 5) years

Age of Ram's father after 5 years = 3(x - 2) + 5

Given

Age of Ram's father after 5 years = 6 years more than twice the age of Ram after 5 years

⇒ 3(x - 2) + 5 = 2(x + 5) + 6

⇒ 3x - 6 + 5 = 2x + 10 + 6

⇒ 3x - 1 = 2x + 16

⇒ 3x - 2x = 16 + 1

⇒ x = 17

Therefore the present age of Ram is 17 years.