Baffled Son
Number Theory
Level
1
" I am eight times as old as you were when I was as old as you are " , said a man to his son. Find out their present ages if the sum of the their ages is 75 years.
40 & 35
48 & 27
41 & 34
56 & 19
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1 solution
Father's present age = x
Son't present age = y
Father's age earlier = y
Son's age earlier = x/8 [so that father's age is 8 times = x]
Difference in their ages will always remain constant:-
=> x-y = y-(8/y)
=> 9x - 16y = 0...........(1) [solving the above equation]
Also, it is given that x + y = 75 .............(2)
Solving (1) with (2), we get x = 48 [Father's age] and y = 27 [Son's age].