First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = <<1936-1932=4>>4 years
Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = <<4*2=8>>8 years
Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = <<1936+8=1944>>1944
#### 1944