Farah was married some years ago. Today her age is 1.25 times to that age at the time of marriage. At present her daughter's age is 1/10th of her age that was born after 3 years of her marriage. What will be the ratio of her daughter's age to her age after 6 years?

Let Farah's age at marriage be M years. Her current age is 1.25M. Her daughter was born 3 years after marriage, so the daughter's current age is (1.25M - 3). The daughter's age is 1/10th of Farah's age 3 years after marriage: 1.25M - 3 = (M + 3)/10. Solving: 12.5M - 30 = M + 3, so 11.5M = 33, giving M ≈ 24. Current ages: Farah = 30, daughter = 3. After 6 years: Farah = 36, daughter = 9. Ratio = 36:9 = 4:1, which as 'daughter's age to mother's age' = 1:4.