Sure! Let's solve this step-by-step:
1. Let's denote Jacob's present age as [tex]\( x \)[/tex].
2. Since Jacob's father's present age is three times that of Jacob, we can denote Jacob's father's present age as [tex]\( 3x \)[/tex].
3. After 5 years, Jacob's age will be [tex]\( x + 5 \)[/tex].
4. After 5 years, Jacob's father's age will be [tex]\( 3x + 5 \)[/tex].
5. According to the problem, the difference in their ages after 5 years will be 30 years. So we can write the equation:
[tex]\[ (3x + 5) - (x + 5) = 30 \][/tex]
6. Simplify the equation:
[tex]\[ 3x + 5 - x - 5 = 30 \][/tex]
[tex]\[ 2x = 30 \][/tex]
7. Solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{30}{2} \][/tex]
[tex]\[ x = 15 \][/tex]
8. Now, since Jacob's present age is [tex]\( 15 \)[/tex] years, Jacob's father's present age, which is three times Jacob's age, will be:
[tex]\[ 3x = 3 \times 15 = 45 \][/tex]
Therefore, the present age of Jacob's father is [tex]\( 45 \)[/tex] years.
