Question

Five years ago a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ges.

Answer 1

Five years ago let the age of son was x years

Five years ago the age of man was 7x years

After five years the age of son is  x + 5 years

After five years the the age of man is 7x + 5 year

According to the question:

Five years hence, the relation in their ages is:

Therefore present age of man is 7x + 5 = 7 \(\times\) 5 + 5 = 40years

Present age of son is x + 5 = 5 + 5 = 10 years