SOLUTION: the ratio of ages of rohit and rana is 5:7 and their difference of age is 4 years.find the sum their ages.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: the ratio of ages of rohit and rana is 5:7 and their difference of age is 4 years.find the sum their ages.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 979941: the ratio of ages of rohit and rana is 5:7 and their difference of age is 4 years.find the sum their ages.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let's Rohit's age be x and Rana's age be y
if the ratio of ages of Rohit and Rana is 5%3A7(means Rohit is older), we have
5%3A7=x%3Ay
or
7x=5y.........solve for x
x=%285%2F7%29y......eq.1
and if their difference of age is 4 years, we have
y-x=4................solve for x
x=y-4......eq.2
since left sides of eq.1 and eq.2 are same, than right sides are same too
so, we have
%285%2F7%29y=y-4........solve for y
7%285%2F7%29y=7y-4%2A7
5y=7y-28
0=7y-5y-28
28=2y
y=28%2F2
y=14
and
x=y-4=>x=14-4=>x=10

so, the sum their ages is x%2By=10%2B14=24