You can
put this solution on YOUR website!
The grandmother was born in the 1900's and her grandmother would have
been born in the 1800's.
The grandmother was x years old in 1950,
She was born in the year 1900+x
Therefore we have the equation
1950 - her birth year = her age
1950 - (1900+x) = x
1950-1900-x = x
50-x = x
50 = 2x
25 = x
So the grandmother was born in 1900+x = 1900+25 = 1925
And she was 25 in 1950.
The grandmother's grandmother was y years old in 1950,
Therefore she was born in the year 1800+y
Therefore we have the equation
1950 - her birth year = her age
1950 - (1800+y) = y
1950-1800-y = y
150-y = y
150 = 2y
75 = y
So the grandmother's grandmother was born in 1800+y = 1800+75 = 1875
And she was 75 in 1950.
[Note, we could have just done the second part because the problem
didn't ask anything about the grandmother, but only about the
grandmother's grandmother's age in 1950.]
Edwin