xy+yz=63,xz+yz=23 then value of x+y+z=?

• xz+yz=23
  i.e. z(x+y)=23
  since 23 is a prime number, there are two possibilities either z=1 and x+y=23 or z=23 and x+y=1.
  we need to calculate x+y+z which will be 23+1=24.
  so, 24 is the answer.
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