A says to B ,"give me rupees 900 and I shall be twice as Rich As You".B replied "if you give me rupees hundred, I shall be thrice as rich as you". How much money has each?
Answers
Answer:
x=700 and y=1700
Step-by-step explanation:
Let us take money A has =x
Let us take money B has=y
Case 1:-
x +900=2(y-900)
x +900=2y - 1800
x- 2y =-2700...............................(1)
Case 2:-
y+100=3(x-100)
y+100=3x-300
y- 3x =-400..........................(2)
Multiplying(2) with 2 on both sides
2y-6x=-800
Using Elimination method :-\
x - 2y = - 2700
-6x + 2y = - 800
- 5x + 0 = - 3500
-5x = -3500
x= 700
substituting x in (2) we get,
y- 2100=-400
y=1700
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Answer:
A has money 700 and B has 1700
Step-by-step explanation:
Let A has take money be x
And B has take money be y
According to the the first condition of the questions is
x+900=2(y-900)
x+900=2y-1800
x-2y=-2700............1
According to the second condition of the question is
y+100=3(x-100)
y+100=3x-300
y-3x=-400............2
On multiply equation ( 2 )with 2 on both side
2y-6x=-800
By using elimination method
x-2y=-2700
-6x+2y=-800
-5x+0=-3500
-5x=-3500
x=700
By putting the value of x in equation (2)
y-2100=-400
y=1700