Question

24. There are 2 friends Mukund and Murali. Mukund age is twice as old as Murali when Mukund was as old as Murali is now. Sum of the present ages of Mukund and Murali is 35. What is the present age of Mukund?​

Answer 1

Answer:

20

Step-by-step explanation:

Let Mukund's present age be x years.

Hence, Murali is (35-x) years old presently.

Difference in their age =x-(35-x)-x = 2x - 35.

When Mukund's age = Murali's present age or (35-x), Murali's age = (35-x)-(2x-35) = 70-3x.

According to question,

2(70-3x) = x

Or, 140 = 7x

Or, x = 20

Murali is therefore 20 yrs old.

Answer 2

Given:

The sum of the present ages of Mukund and Murali = $35$

Mukund's age is twice as old as Murali when Mukund was as old as Murali is now.

To find:

The present age of Mukund

Step-by-step explanation:

Let us consider the present age of Mukund to be $x$ years

Then the present age of Murali = $(35-x)$

Difference between their ages

⇒ $x-(35-x)-x\;=\;2x\;-\;35$  

When Mukund's age = Murali's present age or (35-x)

Murali's age ⇒ $(35-x)-(2x-35)\;=\;70-3x$

According to the given question,

$2(70-3x)\;=\;x$

$140\;=\;7x$

$x\;=\;20$

So, Murali is $20$ years old

Answer:

Therefore, the present age of Mukund is $20$ years