Math Snap

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.
$$=2$$

STEP 3

Next, we set up the second equation from the problem statement.
$$-25 =27(S -25)$$

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.
$$2 -25 =27(S -25)$$

STEP 5

Next, we simplify the equation by distributing the27 on the right side.
$$2 -25 =27 -675$$

STEP 6

We then move the terms involving to one side of the equation and the constants to the other side.
$$27 -2 =675 +25$$

STEP 7

implify the equation to find the value of.
$$25 =700$$

STEP 8

Finally, we solve for by dividing both sides of the equation by25.
$$=700 /25$$

Calculate the value of.
$$=700 /25 =28$$The present age of the son is28 years.