Question 845006
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Hi,
One number is <u>4 times as large</u> as another{{{ highlight_green(x)}}}. 
The sum of their reciprocals is 35/4.
{{{ 1/(4x) + 1/x = 35/4}}}    |Multiplying thru by 4x so as all denominators = 1
   1 + 4 = 35x
   5 = 35x
   5/35 = x = 1/7
One number is 1/7 and the larger 4/7
CHECKING our answer***The sum of their reciprocals is 35/4.
  7/4 + 7 = 7/4 + 28/4 = 35/4
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