Robin is 25 years younger than his father. After 10 years, their ages will be in the ratio 1:2. Find their present ages
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Robin is 25 years younger than his father after 10 years. The age will be in the ratio of 1:2. What are their present ages?
The punctuation is misleading. I will solve the problem taking the wording as
“Robin (R) is 25 years younger than his father (F). After 10 years their ages will be in the ratio of 1:2. What are their present ages?”
R = F-25 …(1)
R+10: F+10 = 1:2, or
2(R+10) = F+10, or
2R+20 = F + 10, or
F = 2R+10 …(2)
Putting F from (2) in (1) we get
R = 2R+10–25, or
R = 15 and F = 40
Robin is 15 years and his father is 40 years now.
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