Question 1112777
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<pre>
The given part translates to these two equations

A - 60 = K + 60,             (1)
2*(K - 20) = A + 20 + 160    (2)


Simplify and write in standard form

A = K + 120              
2K - 40 = A + 180,

or

A = K + 120                   (3)            
2K = A + 220,                 (4)


Next substitute (3) into (4) to get

2K = (K+120) + 220  ====>  K = 340.


<U>Answer</U>.  Kiran amount is Rs 340.


<U>Check</U>.   Then Arun's amount is A = K + 120 = 340 + 120 = 460.


                Then (1) takes the form  460-60 = 400 = 340+60        ! Correct !

                 and (2) takes the form  2*(340-20) = 640 = 460+180   ! Correct !                 
</pre>

Solved.


Very standard problem.  To see other similar solved problems, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Virtual-exchange-between-two-persons.lesson>Virtual exchange between two persons</A>

in this site.