When you reverse the digits of age of father u will get the age of son. One year ago the age of father was twice that of sons age. What are the current ages of father and son?
72, 27
62, 26
63, 36
73, 37
Explanation:
Ongoing through the options, Let current Father age = 73; Sons age = 37and, f = fathers age and s = sons age.
Then, according to the question,
f = 10a + b and s = a + 10b;
=> f - 1 = 2(s - 1) so
=> f = 2s - 2 + 1
=> f = 2s - 1
Therefore,
10a + b = 2a + 20b - 1
8a = 19b - 1, making a = 7 and b = 3.
So Father is 73 and son is 37. (Last year f = 72, s = 36)