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?
(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