The present age of Jacob’s father is three times that of Jacob. After 5 years, sum of their ages would be 70 years. Find their present ages.
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Let's say Jacob's present age is J and his father's present age is F.
According to the problem, the present age of Jacob’s father is three times that of Jacob, so we can write the equation:
F = 3J
After 5 years, Jacob's age will be J + 5 and his father's age will be F + 5. We are given that the sum of their ages after 5 years would be 70 years, so we can write the equation:
(J + 5) + (F + 5) = 70
Substituting F = 3J from the first equation into the second equation:
(J + 5) + (3J + 5) = 70
Combining like terms:
4J + 10 = 70
Subtracting 10 from both sides:
4J = 60
Dividing both sides by 4:
J = 15
Substituting J = 15 into F = 3J:
F = 3(15) = 45
Therefore, Jacob's present age is 15 and his father's present age is 45.
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