Correct Answer - Option 1 : 23 years
Given:
Poorvi’s age = Sum of present age of her one son and one daughter.
Ratio of age of her daughter and son after 5 years = 7 : 6.
Poorvi’s husband is 7 years elder to her
Poorvi’s husband is 3 times the present age of their son.
Calculation:
Let present age of her son = x.
Present age of Poorvi’s husband = 3x
Present age of poorvi = 3x – 7
Eight years ago, Poorvi’s age = 3x – 15
Present age of her daughter = (3x – 15) – x = (2x – 15)
After 5 years, age of her daughter = (2x – 10)
Age of her son = ( x + 5)
⇒ (2x – 10) : (x + 5) = 7 : 6
⇒ 12x – 60 = 7x + 35
⇒ 5x = 95
⇒ x = 19
∴ present age of her daughter = (2x – 15) = 23 years.