amamda 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?

12 = (2/7)f

so f = (7/2)12 = 42

42 - x = 4(12 -x)

42 - x = 48 - 4 x

3 x = 6

x = 2 years ago
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check
that was when Amanda = 10 and father = 40
good, that works :)

butt how old was her father 4 times old s amanda??

To solve this problem step-by-step, let's first find Amanda's father's age.

1. We know that Amanda is currently 12 years old.
2. We also know that Amanda's age is 2/7 times her father's age.

To find Amanda's father's age, we can set up an equation:

Amanda's age = (2/7) * Father's age

Let's substitute Amanda's current age into the equation:

12 = (2/7) * Father's age

Next, let's isolate Father's age:

Multiply both sides of the equation by 7/2 to cancel out the fraction:

12 * (7/2) = Father's age

Simplifying:

42 = Father's age

Now that we know Amanda's father's age, we can proceed to the next step.

3. We need to find the number of years ago when Amanda's father was four times her age.

Let's assume that "x" years ago, Amanda's father was four times her age.

Amanda's age "x" years ago = Amanda's current age - x

Father's age "x" years ago = Father's current age - x

According to the problem, Father's age "x" years ago was four times Amanda's age "x" years ago:

Father's age - x = 4 * (Amanda's age - x)

Substitute the values we found:

42 - x = 4 * (12 - x)

Now, let's solve for x:

Distribute 4 on the right side of the equation:

42 - x = 48 - 4x

Combine like terms:

3x = 6

Divide both sides of the equation by 3:

x = 2

Therefore, the number of years ago when Amanda's father was four times as old as Amanda is 2 years ago.

To solve this problem, we need to break it down into smaller steps:

Step 1: Determine Amanda's current age.
We are given that Amanda is 12 years old.

Step 2: Determine Amanda's father's current age.
We are told that Amanda is 2/7 times as old as her father. So, we can set up the equation: A = (2/7)F, where A represents Amanda's age and F represents her father's age.

If we substitute A = 12 into the equation, we get:
12 = (2/7)F

To solve for F, we multiply both sides of the equation by 7/2:
12 * (7/2) = F
42 = F

Therefore, Amanda's father's current age is 42 years.

Step 3: Determine the number of years ago when Amanda's father was four times as old as Amanda.
Let's say X represents the number of years ago we want to find.

If we go X years back, Amanda would have been 12 - X years old, and her father would have been 42 - X years old.

We are given that Amanda's father was four times as old as Amanda, so we can set up the equation:
4 * (12 - X) = 42 - X

Now, we can solve for X:
48 - 4X = 42 - X

Combine like terms:
48 - 42 = -X + 4X
6 = 3X

Divide both sides by 3 to isolate X:
6/3 = X
2 = X

Therefore, it was 2 years ago when Amanda's father was four times as old as Amanda.