SOLUTION: When comparing two numbers for the "mid value" such as: 34 x 56/ 34 + 56 =x the problem is self explanatory. But, I am trying to solve the same type of problem with the answer kno

Algebra ->  Inverses -> SOLUTION: When comparing two numbers for the "mid value" such as: 34 x 56/ 34 + 56 =x the problem is self explanatory. But, I am trying to solve the same type of problem with the answer kno      Log On


   

Question 490583: When comparing two numbers for the "mid value" such as:
34 x 56/ 34 + 56 =x the problem is self explanatory. But, I am trying to solve the same type of problem with the answer known and one of the numbers an unkown, such as:
34 x X/34 + X = 21.1555
Everything I have tried tells me I don't know how to approach this problem Can you please help?
Thanks,
Quaedan

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
34 x X/34 + X = 21.1555

34%2A%28X%2F34%29%2BX=21.1555

cross%2834%29%2A%28X%2Fcross%2834%29%29%2BX=21.1555

X%2BX=21.1555

2X=21.1555

X+=+21.1555%2F2

X+=+10.57775

Are you sure that it shouldn't have been

34 + 56/34 + 56 = x

instead?  I say that because in 34 x 56/34 + 56 = x
the 34's will just cancel out and you'll always get
one-half what the second number is.

If it was supposed to be

34 + X/34 + X =x

34 + X/34 + X = 21.1555
 
34%2BX%2F34%2BX=21.1555

You multiply through by 34 getting

1156%2BX%2B34X=719.287

1156%2B35X=719.287

35X+=+-436.713

X+=+-12.47751429

Edwin