A and B, each has a certain amount (in ₹). If A gives ₹40 to B, both will have equal amounts. If B
gives ₹110 to A, A will have 4 times the amount left with B. What is the initial amount with B?

Asked by maitrymody2004 | 12th Jun, 2022, 11:52: PM

Expert Answer:

Let A has money = Rs.x  ;  Let B has money = Rs. y ;
 
If A gives Rs.40 to B , then both have equal money ;
 
Hence we get,  ( x-40 ) = ( y+40 )   or   x - y = 80 ...................... (1)
 
If B gives Rs.110 to A , Then   ( x+110) = 4 ( y-110) 
 
hence we get  x - 4y = -550  .......................(2)
 
By solving eqn.(1) and eqn.(2) , we get  x = Rs.290  and y = Rs.210
 
hence A has Rs.290 and B has Rs.210

Answered by Thiyagarajan K | 13th Jun, 2022, 06:41: AM