A and B each have a certain number of mangoes. A says to B, "if you give 30 of your mangoes, I will have twice as many as left with you." B replies "if you give me 10, I will have thrice as many as left with you." How many mangoes does each have?
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Let the number of mangoes A has, be x
and the number of mangoes B has, be y
Therefore, 30 + x = 2(y - 30) ...(i) as A says and,
10 + y = 3 (x - 10) ... (ii), as B says
On Simplification,
x - 2y + 90 = 0...(iii)
- 6x + 2y + 80 = 0...(iv)
On Adding (iii) and (iv)
- 5x + 170 = 0
= x = 34 mangoes
putting x in (i),
34 - 2x + 90 = 0
2y = 124
y = 62 mangoes
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