A and B have some coins.If A gives 100 coins to B then B will have twice the number of coins left with A .Instead if B gives 40 coins to A then A will have thrice the number of coins left with B .How many more coins does A have than B ?
(A) 64
(B) 88
(C) 75
(D) 96
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Answered by
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Step-by-step explanation:
Let money with them also be A and B, so
2(A - 100) = B + 100
2A - 200 = B + 100
2A - B = 100.....(1)
Now, we have
3(B - 40) = A + 40
3B - 120 = A + 40
A - 3B = -160.....(2)
Multiplying (2) by 2 and subtracting from (1), we get
2A - B - 2A + 6B = 100 + 320
5B = 420
B = 84
So, 2A-84= 100
2A = 184
A=92
Therefore, A and B has 92 and 84 money respectively.
Answered by
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Let No. of Coins of A = a
And No. of Coins of B = b
No. of coins of A = 144
No. of coins of B = 88
Therefore, A has 56 coins more than B.
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