In a family the age of father is double that of his son and the daughter age is half that of her mother.if the ratio of father age to mother age is 4:3,find the ratio of daughter age to son age
Answers
Answer:
The ratio of the present ages of the father and his daughter is 3:1. After 12 years, the ratio of their ages would be 11:5. What’s the present age of the father?
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The ratio of the father’s age and his daughter's age is 3:1
Let the rationale between their ages be x. Thus the fathers age is 3x and daughter's age is x
After 12 years, the ratio of their ages would be 11:5.
After 12 years their ages will ve father's age 3x + 12 and daughter's age x + 12. The ratio between their ages then
3x + 12 / x + 12 = 11 / 5
Cross multiplication
5 (3x + 12) = 11 (x + 12)
15x + 60 = 11x + 132
15x - 11x = 132 - 60
4x = 72
x = 72 / 4
x = 18
The rationale is 18, hence their present ages
Father's present age 3x = 3 × 18 = 54 years
Daughter's present age x = 1 × 18 = 18 years