To determine the son's present age, let's proceed step by step:
1. Identify Variables:
- Let the son's present age be represented by [tex]\( x \)[/tex].
2. Express the Relationship Between Ages:
- Since I am 5 times older than my son, my current age can be expressed as [tex]\( 5x \)[/tex].
3. Project Ages 5 Years into the Future:
- After 5 years, my age will be [tex]\( 5x + 5 \)[/tex].
- It is given that after 5 years, my age will be 30 years.
4. Set Up the Equation:
- Equate the expression found in step 3 to 30:
[tex]\[
5x + 5 = 30
\][/tex]
5. Solve for the Son's Present Age:
- Subtract 5 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
5x = 30 - 5
\][/tex]
[tex]\[
5x = 25
\][/tex]
- Solve for [tex]\( x \)[/tex] by dividing both sides by 5:
[tex]\[
x = \frac{25}{5}
\][/tex]
[tex]\[
x = 5
\][/tex]
Hence, the son's present age is [tex]\( 5 \)[/tex] years.
