REVERSIONS. 
145 
Alive. 
Dead. 
Value of the Annuity to be received. 
A B 
• , 
3 #18.28 
A C 
B 
3 #18.33 ^ #18.28.33 
A 
B c 
#18 #18.28 #18.33 "t* #18:28.33 
Art. 164. 
Art. 163. 
the sum, a l8 — ^ a 18 . 2a — ¡j#i 8 . 3 3 + 2 #i 8 . 2 8. 3 3 — value of A’s interest. 
2)10.5668 =r a v 
5.2834 
19.0131 = a„ 
— #i«.5o — • 05 
6.8212 = la 18 , 28 
6.5609 = ¡¡a, s.33 
13.3821 
24.2963 
13.3821 
10.9144 
30 
327.432 — £327 8 8=value of A’s interest. 
By proceeding in a similar manner we obtain the expression for the 
value of B’s interest— 
#28 h #18.28 ^ #28.33 ~f" #18.28.33 • 
170, An annuity of £50 on the longest of three lives, respectively aged 
18, 28, and 33 years, is to be divided equally between A and B during 
their joint lives; if A dies first, B and C are to enjoy it equally during 
their joint lives, and the survivor of them is to have the whole; but if 
B dies first, A is to enjoy the whole during his life, and after his decease 
the whole annuity goes to C. 
Required, the value of their respective shares. 
The formula for A’s proportion, which is of the same description as 
in Art. 167, is a 18 — T>a 18 . 28 . 
To find B’s share : 
Alive. 
Dead. 
Annuity to be received. 
A and B 
B and C 
B 
A 
A and C 
2 #18.28 
i #28.83 i #18.28.33 
#28 #18.28 — #28.33 “f" #18.28.33 
the sum = a. 2S — 1 a l9 ^ B —ha 2B , 33 + i a 18 , 28 . 33 = B’s share. 
C’s share: 
Alive. 
Dead. 
Annuity to be received. 
B and C 
c 
A 
A and B 
2 #28.33 #18.28.33 
#33 #18.83 #28.33 4“ #18 28,33 
the sum —ct 33 ci l3 B3 #20.33 -h g #18.28.33 — C’s share. 
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