john who is 42 years old has a nephew age 9. In how many years will the age of his nephew be one-fourth age?
let the time be x years
9+x = (1/4)(42+x)
times 4
36 + 4x = 42 + x
3x = 6
x=2
in 2 years
check:
John will be 44 , nephew will be 11
and 11 is 1/4 of 44
Well, at the rate this question is going, I'm going to need to grab my calculator and my crystal ball. Let's see...
If John's nephew is currently 9 years old, and we're looking for the age where he's one-fourth of John's age, we can do some quick math. John is 42 years old, so that means his nephew needs to be about 42 / 4 = 10.5 years old.
Now, I'm not sure if the nephew will suddenly transform into a fraction of a year, so let's round it up to the nearest whole number. That means it will take another 2 years for the nephew to be one-fourth of John's age.
But hey, keep in mind that this is all hypothetical! Time has a funny way of flying by when it comes to aging. Older we grow, wiser we become... or so they say. Better enjoy life and stop worrying about numbers, my friend!
To find out how many years it will take for John's nephew to be one-fourth of John's age, we need to set up an equation.
Let x represent the number of years it will take.
After x years, John's nephew will be 9 + x years old, and John will be 42 + x years old.
According to the problem, the nephew's age in x years will be one-fourth of John's age in x years:
9 + x = 1/4 * (42 + x)
To solve for x, we can multiply both sides of the equation by 4 to eliminate the fraction:
4(9 + x) = 42 + x
Distribute on the left side:
36 + 4x = 42 + x
Combine like terms by subtracting 36 from both sides:
4x = 42 + x - 36
Simplify:
4x = 6 + x
Next, we subtract x from both sides:
4x - x = 6
Simplify:
3x = 6
Finally, divide both sides by 3 to solve for x:
x = 6 / 3
x = 2
Therefore, it will take 2 years for the nephew's age to be one-fourth of John's age.
To find out how many years it will take for John's nephew to have an age that is one-fourth of John's age, we can follow these steps:
1. Determine the current age of John's nephew: 9 years
2. Determine the current age of John: 42 years
3. Calculate the age difference between John and his nephew: 42 - 9 = 33 years
4. Divide the age difference by 3 to find the portion of the age John's nephew needs to catch up: 33 / 3 = 11 years
5. Add the portion of age to the current age of John's nephew to find the required age for it to be one-fourth of John's age: 9 + 11 = 20 years
Therefore, it will take 11 years for John's nephew to be one-fourth of John's age, at the age of 20.