Problema Solution

the sum of two numbers a and b is15. Sum of thier reciprocals 1/a and1/b=3/10

Answer provided by our tutors

 

a+b=15 therefore a=15-b

1/a+1/b=3/10

therefore a+b/ab=3/10

hence 15/ab=3/10 (sice a+b=15)

hence ab = 50

or (15-b)*b=50

or b2-15b+50=0

therefore by solving the equation we get b=-10 and -5

henhence a =25 or 20