Hello, Mr_Green!

Are yousureof the wording of the problem?

. . It seems to be much too simple.

If the geometric mean of a and b is 10 . ← not needed

and the harmonic mean of a and b is 8,

find the value of (1/a + 1/b) without determining the values of a and b.

. . . . . . . . . . . . . 2

We are given: . -------- . = . 8

. . . . . . . . . . . .1 . . 1

. . . . . . . . . . . .-- + --

. . . . . . . . . . . .a . . b

. . . . . .1 . . 1 . . . . 1

Then: . -- + -- . = . --

. . . . . .a . . b . . . . 4