Kavita's age is eight years more than thrice the sum of the ages of her two grandsons, who are twins. Nine years later, Kavita's age will be one year more than twice the sum of the ages of her two grandsons. What was Kavita's age when her grandsons were born?
A58 years ✓ Correct
B68 years
C65 years
D28 years
Correct answer: (A) 58 years
Explanation
Kavita was 58 years old when her grandsons were born.
let each twin be g, so K = 8 + 3(2g) = 8 + 6g.
after 9 years: K + 9 = 1 + 2(2g + 18).
this gives K = 4g + 28.
8 + 6g = 4g + 28, so g = 10 and K = 68.
at birth Kavita was 68 - 10 = 58 years.
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