I'm having trouble solving the question. Can you solve according to this method?
Answers
Given : 5 years ago father and son age ratio was 3 : 1
and 15 years later father and son age ratio will be 2 : 1
To Find : Current ages
Solution:
Current Father age = p years
Current Son age = q years
5 year ago Father age = p - 5 years
5 year ago Son age = q - 5 years
(p - 5)/(q - 5) = 3/1
=> p - 5 = 3q - 15
=> p = 3q - 10 ...Eq1
15 year later Father age = p + 15 years
15 year later Son age = q + 15 years
(p + 15)/(q + 15) = 2/1
=> p + 15 = 2q + 30
=> p = 2q + 15 ...Eq2
Equate p from Eq1 and Eq2
3q - 10 = 2q + 15
=> q = 25
p = 2q + 15
=> p = 2(25) + 15 = 65
Hence Current ages are 65 and 25 years
Verification:
5 years ago 60 : 20 = 3 : 1
15 years later 80 : 40 = 2 : 1
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