Question

If a+1/b+1/c+1/d=37 /13 find a,b,c,d they are all integers

Answer 1

a+(1/(b+1/c)=37/13

Step-by-step explanation:

we can let

1+bc = 13

BC = 13―1

BC= 12

→ a+abc+c=a+12a+c=13a+c=37

since B and C are positive integers, the only possibilities for B and C

from 13a+c=37,only the value c=5 will give a positive integer value of a=2.Therefore, a=2,b=3 and c=5.