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Q: Shalini's age if four times the sum of the ages of her two sons. Six years hence, her age will be double the sum of their ages. What is Shalini's present age?
  • A. 32 years
  • B. 40 years
  • C. 26 years
  • D. 36 years
Correct Answer: Option D - Let the age of Shalini be z years and the ages of her two sons be x and y years respectively. According to first condition, z = (x+y)  4 ........ (i) According to second condition, 2(z+6) = (x+y+6+6) 2  2 2z + 12 = (x+y) 4 + 48 from equation (i) 2z + 12 = z + 48 z = 48 – 12 z = 36 years
D. Let the age of Shalini be z years and the ages of her two sons be x and y years respectively. According to first condition, z = (x+y)  4 ........ (i) According to second condition, 2(z+6) = (x+y+6+6) 2  2 2z + 12 = (x+y) 4 + 48 from equation (i) 2z + 12 = z + 48 z = 48 – 12 z = 36 years

Explanations:

Let the age of Shalini be z years and the ages of her two sons be x and y years respectively. According to first condition, z = (x+y)  4 ........ (i) According to second condition, 2(z+6) = (x+y+6+6) 2  2 2z + 12 = (x+y) 4 + 48 from equation (i) 2z + 12 = z + 48 z = 48 – 12 z = 36 years