Q. 423.9( 25 Votes )
Five years hence, a man's age will be three times the age of his son. Five years ago, the man was seven times as old as his son. Find their present ages.
Answer :
Let the age of the man and his son be x and y years respectively.
According to question -
Five years hence, a man's age will be three times the age of his sonx + 5 = 3(y + 5)
⇒ x - 3y = 10.....(1)
and,
Five years ago, the man was seven times as old as his sonx - 5 = 7(y - 5)
⇒ x - 7y = - 30.....(2)
Subtracting Equation (2) from (1), we get -
⇒ -3y + 7y = 10 + 30⇒ 4y = 40
⇒ y = 10
Substituting the value of y in equation (1), we get -
⇒ x - 3(10) = 10⇒ x = 30 + 10
⇒ x = 40
Thus, Man's age, x = 40 years
and son's age, y = 10 years
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PREVIOUSA railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Mumbai to Delhi costs Rs.4150 while one full and one half reserved first class tickets cost Rs. 6255. What is the basic first class full fare and what is the reservation charge?NEXTTwo years ago, a man was five times as old as his son. Two years later, his age will be 8 more than three times the age of his son. Find their present ages.
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