Question

A and B each has some money . If A gives rs50 to B, then B will have twice the money left with A . But if B gives rs20 to A, then A will have thrice as much as is left with B . How much money does each have ?

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Answer 1

Step-by-step explanation:

Here let A have x money

and B have y money

then here,

x-50= y+50

=> y+50= 2(x-50) .....(i)

and

y-20= x+20

=> x+20= 3(y-20)......(ii)

in equation (i)

y+50= 2x-100

=> y= 2x-100+50

=> y= 2x-50

Putting y value in equation (ii)

x+20= 3{(2x-50)-20}

=> x +20= 3{2x-70}

=> x +20 = 6x-210

=> 210+20= 6x-x

=> 5x = 190

=> x = 190/5

=> x = 38

Then y = 2x-50

= > y = 2*38-50

=> y = 76-50

=> y = 26

Thus, A have Rs 38 and B have Rs 26

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Answer 2

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