a+b+c+d=225, a+b=170, a+c=90, b+d=135, c+d=55. Find the value of a, b, c and d.

Dear Student

Given:  a+b+c+d=225   ..(1)
            a+b=170           ..(2)
            a+c=90             ..(3)
            b+d=135           ..(4)
            c+d=55            ...(5)
Adding equation (2) and (5), we obtain
a+b+c+d=170+135
a+b+c+d=305 But it is contradict with equation (1). So there is no solution.
We can't find the value of a, b, c and d.
Please! Recheck your question.
Regards