Answer :
The ages of Lute, Maya and Aran are respectively; 24, 8 and 6 years old.
How to solve algebra problems?
Let Lute's age be x
Thus;
Maya's age = ¹/₃x
Aran's age = ¹/₄x
We are told the sum of their ages is 38. Thus;
x + ¹/₃x + ¹/₄x = 38
Multiply through by 12 to get;
12x + 4x + 3x = 456
19x = 456
x = 456/19
x = 24
Maya's age = ¹/₃ * 24 = 8 years
Aran's age = ¹/₄ * 24 = 6 years
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