Answer
$A_{Re-185}$ = 184.9518 amu
$A_{Re-187}$ = 186.9569 amu
Work Step by Step
$\frac{37.4}{100}$ x $A_{Re-185}$ + $\frac{62.6}{100}$ x $A_{Re-187}$ = 186.207
$A_{Re-185}$ + $A_{Re-187}$ = 371.9087
37.4 x $A_{Re-185}$ + 62.6 x $A_{Re-187}$ = 18620.7
$A_{Re-185}$ + $A_{Re-187}$ = 371.9087 | x 37.4
37.4 x $A_{Re-185}$ + 62.6 x $A_{Re-187}$ = 18620.7
37.4 x $A_{Re-185}$ + 37.4 x $A_{Re-187}$ = 13909.38538
37.4 x $A_{Re-185}$ + 62.6 x $A_{Re-187}$ - 37.4 x $A_{Re-185}$ - 37.4 x $A_{Re-187}$ = 25.2 x $A_{Re-187}$ = 18620.7 - 13909.38538 = 4711.31462
25.2 x $A_{Re-187}$ = 4711.31462
$A_{Re-187}$ = 186.9569 amu
$A_{Re-185}$ = 371.9087 - 186.9569 = 184.9518 amu