Question

Q75. Shivani’s mother was three times older than Shivani 5 years ago. After 5 years, she will be twice as old as Shivani. How old is Shivani today?

• A. (a) 10 years
• B. (b) 5 years
• C. (c) 15 years
• D. (d) 12 years

Answer 1

Answer: (C)

(c) 15 years

Let x, y denote Shivani’s mother’s and Shivani’s present ages, respectively.

By hypothesis,

X – 5 = 3 (5 = 3 (y - 5) or x - 3 – 3y + 10 =0 (i)

X + 5 = 2 (y + 5) or x – 2y – 5 = 0 (ii)

Solving y = 15 years