If Ajay gives Vijay ₹5, Ajay would have twice as much as Vijay. If Vijay gives Ajay ₹15, Ajay would have 8 times as much as Vijay. How much does Ajay have?

1 Answer
Evan
Nov 16, 2017

Ajay has #₹65#.

Explanation:

Let Ajay's amount be #x# and Vijay's amount be #y#,

When Ajay gives Vijay #₹5#,
#x-5=2(y+5)#
#x-5=2y+10#
#color(white)(xxx)x=2y+15-①#

When Vijay gives Ajay #₹15#,
#x+15=8(y-15)#
#x+15=8y-120#
#color(white)(xxx.)x=8y-135-②#

#①=②#,
#2y+15=8y-135#
#color(white)(xxx.)6y=150#
#color(white)(xxx...)y=25#

When #y=25#,
#x=2(25)+15#
#color(white)(x)=65#

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