Mang Andoy has lived one-fourth of his life as a boy, one-fifth as a youth, one-third as a man, and has spent 13 years in his dotage. How old is he? Ans=60

PLEASE TELL ME HOW THIS PROBLEM ENDED UP WITH 60 AS AN ANSWER.. THANK YOUUU

4 answers

let age = x

x/4 + x/5 + x/3 + 13 = x

LCD = 60

60 x/4 + 60 x/5 + 60 x/3 + 13*60 = 60 x

15 x + 12 x + 20 x + 13 * 60 = 60 x

47 x + 13 * 60 = 60 x

13 x = 13 * 60

x = 60

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