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1 older comment kept for context.
Timothy Godspower
Let the total age be X
1/4 of X = x/4
1/5 of X = x/5
1/3 of X = x/3
Therefore
X - 13 = x/4 + x/5 + x/3
X - 13 = 15x + 12x + 20x / 60
Cross multiply
60x - 780 = 47x
Collect like terms
60x - 47x = 780
13x = 780
X = 60. That is.