Question 389567
  <pre><font size = 3 color = "indigo"><b>
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