Q3 of 242 Page 9

The product of Shikha’s age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.

Let the present age of Shikha be ‘a’ years.


Given, product of Shikha’s age five years ago and her age 8 years later is 30


⇒ (a – 5)(a + 8) = 30


⇒ a2 + 3a – 40 – 30 = 0


⇒ a2 + 10a – 7a – 70 = 0


⇒ a(a + 10) – 7(a + 10) = 0


⇒ (a – 7)(a + 10) = 0


⇒ a = 7 years


More from this chapter

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1

Ashu is x years old while his mother Mrs. Veena is x2 years old. Five years hence Mrs. Veena will be three times old as Ashu. Find their present ages.

 2

The sum of the ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man’s age at the time. Find their present ages.

 4

The product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu’s present age.

 5

Is the following situation possible? If so, determine their present ages.

The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.