QuestionLet the son's age be . Then, father's age is . Twenty-five years ago, . Find .
Studdy Solution
STEP 1
Assumptions1. Let's denote the present age of the son as (in years).
. Let's denote the present age of the father as F (in years).
3. According to the problem, the father is twice as old as his son, so we can write this as F =.
4. Twenty five years ago, the father was twenty seven times as old as his son, so we can write this as F -25 =27(S -25).
STEP 2
We start by setting up the first equation from the problem statement.
STEP 3
Next, we set up the second equation from the problem statement.
STEP 4
Now we have a system of two equations. We can solve this system by substitution or elimination. In this case, substitution seems to be the easier method. We substitute F from the first equation into the second equation.
STEP 5
Next, we simplify the equation by distributing the27 on the right side.
STEP 6
We then move the terms involving to one side of the equation and the constants to the other side.
STEP 7
implify the equation to find the value of.
STEP 8
Finally, we solve for by dividing both sides of the equation by25.
STEP 9
Calculate the value of.
The present age of the son is28 years.
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