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Question -

A and B each has some money. If A gives тВ╣ 30 to B, then B will have twice the money left with A, but if B gives тВ╣ 10 to A, then A will have thrice as much as is left with B. How much money does each have?



Answer -

Let AтАЩs money = 7 x
and BтАЩs money = 7 y
According to the given conditions,
2(x тАУ 30) = 7 + 30
=> 2x тАУ 60 = y + 30
=> 2x тАУ y = 30 + 60 = 90 тАж.(i)
and x + 10 = 3 (y тАУ 10)
=> x + 10 = 3y тАУ 30
=> x тАУ 3y = -30 тАУ 10 = -40 тАжтАжтАж(ii)
Multiplying (i) by 3 and (ii) by 1,

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