Question 507769
Carrie was born when her father was 42 years old. When Carrie was 10 his father passed away. He left her with a large estate that she can claim at the age when she should be one-third her father's age if he had been alive. How old will she be when she is able to claim the estate?
:
When Dad died Carrie was 10 and Dad was 52, using this point of reference:
Let a = no. of yrs when C will {{{1/3}}} Dad's projected age
:
10 + a = {{{1/3}}}(52+a)
multiply both sides by 3
3(10+a) = 52 + a
30 + 3a = 52 + a
3a - a = 52 - 30
2a = 22
a = 11 yrs for this to be true
then
10 + 11 = 21 yrs old when Carrie is rich