Hi

Let x and (x+1) represent the smaller and larger consecutive numbers respectively

Question States***

 4/7(x+1) = (1/2)x  + 5

solving for x

 8(x+1) = 7x +  70  Multiplying both sides of equation by 14

  8 + 8x = 7x + 70

      x = 62, the smaller number. Larger number is 63



CHECKING our Answer***

 4/7*63 = 36 = 1/2*62 + 5 = 36 

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