Q4 of 58 Page 118

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

Let Present age of Rehman be x

Three Years ago his age was = x - 3


Five years from now his age will be = x + 5


According to the problem:




⇒ 6(x + 1) = (x - 3)(x + 5)


⇒ 6x + 6 = x2 + 2x - 15


⇒ x2 - 4x - 21 = 0


⇒ x2 - 7x + 3x - 21 = 0


⇒ x(x - 7) + 3(x - 7) = 0


⇒ (x + 3)(x - 7) = 0


⇒ x = - 3 ,7


Since age cannot be negative so ,


Present age is 7 years


More from this chapter

All 58 →
3

Find the roots of the following equation:

 3

Find the roots of the following equation:

 5

In a class test, the sum of Moulika’s marks in Mathematics and English is 30. If she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks have been 210. Find her marks in the two subjects.

 6

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.