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PROBLEM BASED ON AGES - Complete Details(基于年龄的问题,完整的细节)
Quantitative Aptitude
PROBLEM BASE D O N AGES
In Problem s base d on ages usually relationship s
between the age s of tw o or mor e person s at two differ-
ent time are given and we are required to find the age s
of these persons . Suc h problem s can be solved by the
knowledge of Linear Equations . However , in certain
cases we can find short-cut method s of deriving direct
formulae . Thi s will save lot of preciou s time . Time -
scale i s divided into three parts -past, present and
future. Problem s usually state the relaUonship be -
tween age s of person s for tw o out of three part s of
time-scale . Thes e relationship s are either in the form
of ratio of their ages or alternatively as numbe r of times
ones age is of the other . Sometimes , instead of stat -
ing the ratio of ages of two person s for two different
parts of time scale , only on e such relationship is giv-
en . Th e other condition is stated in one of these forms -
sum of their ages , difference of their age s or product of
their ages . Th e main point that we hav e to see (e.g. , in
case of two persons) that there are tw o unknown s (ages
of tw o persons) to be found and henc e we mus t hav e
two uniqu e relationship s to solve these problems . Al -
though type s of problem s on age s can b e too many , w e
will try to cover here all those types of problem s whic h
are commonly asked in competitiv e exams .
Ex. 1 . Th e ag e of father 3 year s ag o wa s 8 time s
the age of hi s son . Presently the fathers age is 5 time s
that of the son . Find their present ages .
Sol. Let the present age of son be x years .
Then , the present ag
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