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Options:Five years later, Jacob's age will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?

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Jacob

years, son

years

Jacob

years, son

years

Jacob

years, son

years

Jacob

years, son

years

answer is C.

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Detailed Solution

Concept- First, assume the variables for Jacob's and his son's current ages, then create equations based on the question and solve it.
Consider

as the present age of Jacob and

as the present age of his son.
According to the question, the age of Jacob after five years will be three times that of his son.
That is,

It is given that the age of Jacob five years ago was seven times that of his son. That is,

When adding (1) and (2), we get

When putting (3) in (1), we get

When substituting the value of

in (3), we get

Therefore, the present age of Jacob is 40 years and his son is 10 years.
Hence, the correct answer is option 3) Jacob

years, son

years.

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Options:Five years later, Jacob's age will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?

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Detailed Solution

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