Solve this question for me. Cliff's age is 2/9 of his father's. His father will be 42 years old in 6 years' time. In how many years' time will Cliff's age is 3/7 of his father's?

Sure, let's solve this step by step:

1. First, we know that Cliff's father will be 42 years old in 6 years. So, his current age is 42 - 6 = 36 years old.

2. Cliff's age is 2/9 of his father's age. So, Cliff's current age is 2/9 * 36 = 8 years old.

3. We need to find out when Cliff's age will be 3/7 of his father's age. Let's denote the number of years from now when this will happen as 'x'.

4. In 'x' years, Cliff's age will be 8 + x and his father's age will be 36 + x.

5. According to the problem, (8 + x) should be equal to 3/7 of (36 + x). We can set up the equation and solve for 'x':

   8 + x = 3/7 * (36 + x)

6. Multiply both sides by 7 to get rid of the fraction:

   7*(8 + x) = 3*(36 + x)

   56 + 7x = 108 + 3x

7. Subtract 3x from both sides:

   4x = 108 - 56

   4x = 52

8. Divide both sides by 4 to solve for 'x':

   x = 52 / 4

   x = 13

So, in 13 years' time, Cliff's age will be 3/7 of his father's age.

Sure, let's solve this step by step:

1. First, we know that Cliff's father will be 42 years old in 6 years. So, his current age is 42 - 6 = 36 years old.

2. Cliff's age is 2/9 of his father's age. So, Cliff's current age is 2/9 * 36 = 8 years old.

3. We need to find out when Cliff's age will be 3/7 of his father's age. Let's denote the number of years from now when this will happen as 'x'.

4. In 'x' years, Cliff's age will be 8 + x and his father's age will be 36 + x.

5. According to the problem, (8 + x) should be equal to 3/7 of (36 + x). We can set up the equation as follows:

   8 + x = 3/7 * (36 + x)

6. Solving this equation will give us the value of 'x'. First, let's distribute the 3/7 across the terms in the parentheses:

   8 + x = 3/7 * 36 + 3/7 * x

7. Simplifying this gives:

   8 + x = 15.42857142857143 + 0.42857142857142855 * x

8. Subtract 0.42857142857142855x from both sides to get:

   0.5714285714285714x = 7.428571428571429

9. Finally, divide both sides by 0.5714285714285714 to solve for 'x':

   x = 13

So, in 13 years' time, Cliff's age will be 3/7 of his father's age.