One year ago, a father was 8 times as old as his son. Now, his age is the square of his son’s age. Find the age of the father24494825

Let's denote the current age of the son as x and the current age of the father as y.

From the problem, we have two equations:

1. One year ago, the father was 8 times as old as his son. This can be written as: y - 1 = 8 * (x - 1)

2. Now, the father's age is the square of his son's age. This can be written as: y = x^2

Now, we can solve these equations step by step:

Step 1: Substitute the second equation into the first one: x^2 - 1 = 8 * (x - 1)

Step 2: Simplify the equation: x^2 - 1 = 8x - 8

Step 3: Rearrange the equation: x^2 - 8x + 7 = 0

Step 4: Factor the equation: (x - 7)(x - 1) = 0

Step 5: Solve for x: x = 7 or x = 1

Since the son's age cannot be 1 (because one year ago he would have been 0 and the father's age would not have been 8 times his), the son must be 7 years old.

Step 6: Substitute x = 7 into the second equation to find y: y = (7)^2 = 49

So, the father is 49 years old.

Let's denote the current age of the son as x and the current age of the father as y.

From the problem, we have two equations:

1. One year ago, the father was 8 times as old as his son. This can be written as: y - 1 = 8 * (x - 1)

2. Now, the father's age is the square of his son's age. This can be written as: y = x^2

Now we can solve these equations step by step:

Step 1: Substitute the second equation into the first one: x^2 - 1 = 8 * (x - 1)

Step 2: Simplify the equation: x^2 - 1 = 8x - 8

Step 3: Rearrange the equation: x^2 - 8x + 7 = 0

Step 4: Factor the equation: (x - 7)(x - 1) = 0

Step 5: Solve for x: x = 7 or x = 1

Since the son's age cannot be 1 (because one year ago he would have been 0 and the father's age cannot be 8 times 0), the son must be 7 years old.

Step 6: Substitute x = 7 into the second equation: y = 7^2 = 49

So, the father is 49 years old.

Let's denote the current age of the son as x and the current age of the father as y.

From the problem, we have two equations:

1. One year ago, the father was 8 times as old as his son. This can be written as: y - 1 = 8 * (x - 1)

2. Now, the father's age is the square of his son's age. This can be written as: y = x^2

Now, we can solve these equations step by step:

Step 1: Substitute the second equation into the first one: x^2 - 1 = 8 * (x - 1)

Step 2: Simplify the equation: x^2 - 1 = 8x - 8

Step 3: Rearrange the equation: x^2 - 8x + 7 = 0

Step 4: Factor the equation: (x - 7)(x - 1) = 0

Step 5: Solve for x: x = 7 or x = 1

Since the son's age cannot be 1 (because one year ago he would have been 0 and the father would not have been 8 times his age), the son must be 7 years old.

Step 6: Substitute x = 7 into the second equation to find y: y = (7)^2 = 49

So, the father is 49 years old.