Q38 of 168 Page 7

The sum of the ages (in years) of a son and his father is 35 and the their ages is 150. Find their ages.

Let the father and his son’s age be ‘X’ yrs and ‘Y’ yrs respectively.


X + Y = 35
X × Y = 150

150 + Y2 = 35Y
Y2 – 35Y + 150 = 0
(Y–5) (Y–30)=0
Y=5
 the son's age (Y) = 5 yrs and father's age (X) = 30 yrs.


More from this chapter

All 168 →
36

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/hr more than that of the passenger train, find the average speed of the two trains.

 37

The sum of the reciprocals of Rehman's age (in years) 3 years ago and 5 years from now is . Find his present age.

 39

If a boy's age and his father's age amount together to 24 years. Fourth pan i product of their ages exceeds the boy's age by 9 years. Find how old they are?

 40

The product of the ages of two sisters is 104. The difference between their ages is 5. Find their ages.