Amanda is 12 years old. She is 2/7 times as old as her father. How many years ago was her father 4 times as old as Amanda.

Amanda now = 12

Amanda then = 12-x
Father now = F
Father then = F-x

12 = (2/7) F
F-x = 4 (12-x)

F = 7*12/2 = 42
42-x = 48 -4x
3x = 6
x = 2
-----------------
check
A was 10
F was 40 yes four times
7/2*12 = 42 yes

Well, well, well. We have a mathematical conundrum on our hands. Let's dive in, shall we?

If Amanda is currently 12 years old and she is 2/7 times as old as her father, we can find her father's current age by dividing Amanda's age by 2/7. So, 12 divided by 2/7 is...let's see, carry the laughter...multiply by the giggles...oh yes! 42! Her father is currently 42 years old.

Now, let's go back in time, shall we? When was the momentous occasion when Amanda's father was 4 times as old as Amanda? We need to find the number of years ago that happened.

Let's call that unknown number of years "X." So, back when Amanda's father was 4 times as old as Amanda, he must have been X years younger. And since Amanda is currently 12, we can also say that she was 12 - X years old back then.

So, Amanda's father's age would be 42 - X years old, and we know that he was 4 times as old as Amanda, which gives us the equation:

42 - X = 4 * (12 - X)

Now, let's put our mathematical clown noses on and solve this equation:

42 - X = 48 - 4X

Combine like terms, carry the jokes:

3X = 6

Divide both sides by 3:

X = 2

Ha! So, it seems that 2 years ago, Amanda's father was 4 times as old as Amanda. I guess time flies when you're solving mathematical riddles!

To solve this problem, we need to set up equations based on the given information.

Let's assume x represents the number of years ago when Amanda's father was 4 times as old as Amanda.

According to the problem, Amanda's current age is 12, and she is 2/7 times as old as her father. We can express this as:

Amanda's father's current age = (2/7) * Amanda's current age
= (2/7) * 12
= 24/7

Now, let's determine Amanda's father's age x years ago. To do this, we subtract x from Amanda and her father's current ages:

Amanda's current age - x = 12 - x
Amanda's father's current age - x = 24/7 - x

Based on the problem, x years ago, Amanda's father was 4 times as old as Amanda. We can set up an equation:

Amanda's father's current age - x = 4 * (Amanda's current age - x)

Now we can substitute the expressions we derived earlier:

24/7 - x = 4 * (12 - x)

Simplifying this equation will allow us to find the value of x, which represents the number of years ago when Amanda's father was 4 times as old as Amanda.

punany

42

42 12/1*7/2=84/2=42

42✔️✔️✔️✔️✔️✔️✔️