Problema Solution
The age of Sonu and Monu are in the ratio 7:5. Ten years later the ratio of their ages will be 9:7.Find their present ages.
Answer provided by our tutors
Let
s = the present age of Sonu
m = the present age of Monu
s : m = 7 : 5 cross-multiply
5s = 7m divide both sides by 5
s = (7/5)m
10 years later their ages will be:
s + 10 = the age of Sonu
m + 10 = the age of Mony
(s + 10) : (m + 10) = 9 : 7
7(s + 10) = 9(m + 10)
plug s = (7/5)m into the equation above:
7((7/5)m + 10) = 9(m + 10)
........
click here to see the equation solved for m
........
m = 25 years
s = (7/5)*25
s = 35 years
The present age of Sonu is 35 years, while the present age of Monu is 25 years.