Problema Solution

If A + B = 45 and 1/A + 1/B = 1/10 then find A and B

Answer provided by our tutors

If A + B = 45 and 1/A + 1/B = 1/10

A= 45-B

 

B/AB + A/AB = 1/10

(A+B)/AB = 1/10

45/(45B-B2) = 1/10

450= 45B-B2

B2-45B+450=0

 

B=30, A=15

or A=15 , B=30