Question
Download Solution PDFA father is presently 3 times his daughter’s age. After 10 years he will be twice as old as her. Find the daughter’s present age.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A father is presently 3 times his daughter's age. After 10 years he will be twice as old as her.
Formula used:
Let the daughter's present age be D years.
Father's present age = 3D years
After 10 years:
Daughter's age = D + 10
Father's age = 3D + 10
According to the problem, after 10 years, father will be twice as old as daughter:
3D + 10 = 2(D + 10)
Calculation:
3D + 10 = 2(D + 10)
⇒ 3D + 10 = 2D + 20
⇒ 3D - 2D = 20 - 10
⇒ D = 10
∴ The correct answer is option 3.
Last updated on Jul 10, 2025
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