Henry is a quarter of the age of Reginald, his father. In 6 years' time, his father will be three times his age. How old is Henry?
h = r/4 or r = 4 h
3 (h+6) = r+6
3 h + 18 = 4 h + 6
h = 12
Anonymous,
Iv'e got a question. What does h stand for
h = Henry
To solve this problem, we can set up equations based on the given information.
Let's assume Henry's current age is represented by H, and his father's current age is represented by R.
From the problem, it is given that Henry is a quarter of his father's age: H = (1/4)R.
In 6 years' time, Henry's age will be H + 6, and his father's age will be R + 6.
The problem also states that in 6 years' time, Henry's father will be three times his age: R + 6 = 3(H + 6).
Now we can solve these equations:
From the first equation, we have H = (1/4)R.
Substituting the value of H in the second equation, we get R + 6 = 3(1/4)R + 3(6).
Simplifying this equation: R + 6 = (3/4)R + 18.
Multiplying through by 4 to clear the fraction: 4(R + 6) = 3R + 72.
Expanding the equation: 4R + 24 = 3R + 72.
Rearranging terms: 4R - 3R = 72 - 24.
Simplifying: R = 48.
Now that we know the father's age, we can substitute this value back into the equation H = (1/4)R to find Henry's age: H = (1/4) * 48.
Simplifying: H = 12.
Therefore, Henry is currently 12 years old.