There are five friends. Josh says his birthdate is 31st December 1878. Rick says his birthdate is 14th November 1902, Derik says his birthdate is 12th July 1898, Usha says her birthdate is 29th February 1900, and Mike says his birthdate is 15th May 1904. In which year,will the sum of their ages be equal to a prime number between 175 and 240?
Pls Don't use any search engine, try to solve by yourself only Its a easy one![]()
Is there a trick because of diff. dates? I solved it like this ignoring the dates and just looking at years. Let youngest guy be x. The others are then x+26, x+2, x+6 and x+4. Sum of ages is 5x+38. This needs to be between 175 and 240. You need to start from x=29. Ane even x would give an even no. so ignore those. You'll get sums 193, 223 and 233 for x=31, x=37 and x=39. So either there are 3 solutions or you need to take into account the ages by looking at dates. That would involved going to each person's birthdate and setting up an equation at that point of time. I tried for the youngest guy, equation was 5x+35 which can never be prime. Probably, that's the way, go to each guy and set up an equation and all but one might give a unique solution. But I couldn't be least bothered to try that