Mat's age is 40% of his fathers age. Ten years from now, Mat's age will be 50% of his fathers age. How old are Mat and his father now?
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Formula doesn't work :(
To solve this problem, let's represent Mat's current age as "M" and his father's current age as "F".
We are given two pieces of information:
1. Mat's age is 40% of his father's age: M = 0.4F
2. Ten years from now, Mat's age will be 50% of his father's age: M + 10 = 0.5(F + 10)
To find the current ages of Mat and his father, we need to solve these two equations simultaneously.
Let's start with the first equation:
M = 0.4F
Next, let's simplify the second equation:
M + 10 = 0.5(F + 10)
M + 10 = 0.5F + 5
M = 0.5F - 5
Now, we have two equations:
M = 0.4F
M = 0.5F - 5
Since both equations are equal to M, we can set them equal to each other:
0.4F = 0.5F - 5
Now, let's solve for F:
0.1F = 5
F = 50
Finally, substitute the value of F back into one of the equations to find M:
M = 0.4F
M = 0.4 * 50
M = 20
Therefore, Mat is currently 20 years old and his father is currently 50 years old.
If the father's age is x, then
.40x + 10 = .50(x+10)