Question

Right now, Simran's father is three times as old as Simran. Five years ago, he was four times as

old as Simran. How old is each person right now?

Answer 1

Simran is 15 years old and her father is 45 years old.

Step-by-step explanation:

Let's represent Simran's age as x and her father's age as 3x.

According to the problem, five years ago, Simran's father was four times as old as Simran.

So, we can write the equation: (3x - 5) = 4(x - 5).

Simplifying the equation, we get 3x - 5 = 4x - 20. Subtracting 3x from both sides, we have -5 = x - 20.

Adding 20 to both sides, we get 15 = x.

Therefore, Simran is 15 years old and her father is 3 times as old, which is 45 years old.

Answer 2

Answer: The required age of Simran is 15 years and her father is 45 years.

Step-by-step explanation: Given that right now, Simran's father is three times as old as Simran and five years ago, he was four times as old as Simran.

We are to find the present ages of Simran and her father.

Let x and y represents the present ages of Simran and her father respectively.

Then, according to the given information, we have

`y=3x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y-5=4(x-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Substituting the value of y from equation (i) in equation (ii), we get

`y-5=4(x-5)\\\\\Rightarrow 3x-5=4x-20\\\\\Rightarrow 4x-3x=20-5\\\\\Rightarrow x=15.`

From equation (i), we get

`y=3*15=45.`

Thus, the required age of Simran is 15 years and her father is 45 years.