[ 7 6 ] 
from the age of 42* ought to be reduced, both upon 
account of the probability of living from 42 to 4 9, 
and of the difeount of money for 7 years, at 5 per 
cent, per annum , amounting together to 3. 85 54, 
which will bring it down to 5.7079; to this adding 
the value of an annuity on a life to continue from 
the age of 42 to 49, found before to be 5.3492, 
the fum will be 11. 05-71 years purchafe, the value of 
an annuity to continue from the age of 42 1070, 
In the fame manner, for the laft 16 years of life, 
reaching from 70 to 8 6, when properly difeounted, 
and alfo diminifhed upon the account of the proba- 
bility of living from 42 to 70, the value of thofe 
laft 16 years will be reduced to 0.8 j this being 
added to 11.05 71 (the value of an annuity to con- 
tinue from the age of 42 to 70, found before), 
the fum will be 11.8571 years purchafe, the value 
of an annuity to continue from the age of 42 to 86 ; 
that is, the value of an annuity on a life of 42 ; 
which, in my tables, is but 11.57, u P on the fup- 
pofition of an uniform decrement of life, from an 
age given to the extremity of old-age, fuppofed. 
at 86. 
It is to be obferved, that the two diminutions, 
above- mention’d, are conformable to what I have faid 
in the corollary to the fecond problem of the firft 
edition, printed in the year 1724. 
Thofe who have fufficient leifure and skill to 
calculate the value of joint lives, whether taken two 
and two, or three and three, in the fame manner as 
I have done the firft problem of this trad, will be 
greatly aftifted by means of the two following theo- 
rems : 
If 
