One number is five times another. The sum of the reciprocals of each number is 3/20. Find the numbers

Answer 1

x =5y

1/x +1/y = 3/20

what are x and y??

1/5y + 1/y = 1/5y +5/5y = 6/5y = 3/20 = 3/2.5y, 2.5y = 20, y =20/2.5 = 200/25 = 8

y = 8

x =5(8) = 40

the numbers are 8 and 40

1/8 + 1/40 = 3/20

5/40 + 1/40 = 6/40 = 3/20