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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

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B

(b) 5 years

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C

(c) 15 years

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D

(d) 12 years

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Solution

The correct option is 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


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