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One number is three times as large as another. the sum of their reciprocals is 4/3. find the two numbers?

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Cheahjimmyviz
let x be the number
thus      3x is the other  #
             1/3x + 1/x =    4/3      / multiply the whole equation by 3x
           3x(1/3x + 1/x)   =    3x*4/3
             1+ 3 =  4x
             4x = 4
             x = 1
             the other # = 3x  = 3


Sasuke0877viz
X is three times in x
reciprocal=4/3
4/3=3/4
3/4 divided by three 
=1/4
X=3/4 x=1/4