L.C.M of two numbers is 105, H.C.F of that two numbers is 1, sum of the numbers is 22, the difference of numbers is

L.C.M of two numbers is 105

H.C.F of that two numbers is 1

The product of two numbers = product of their L.C.M and H.C.F

$ab=105\times 1$

$ab=105$

Given $a+b=22$

$a-b=\sqrt{{(a+b)}^2-4ab}$

$a-b=\sqrt{{22}^2-4\times 105}$

$a-b=\sqrt{484-420}$

$a-b=\sqrt{64}$

$a-b=\pm 8$

The difference of numbers $a-b=8$