A and B have certain number of mangoes. A says to B, " If you give me 10 of your mangoes, I will have twice as many as left with you." B replies, "If you give me 10 of your mangoes, I will have thrice the number of mangoes left with you. Find the original number of mangoes each had.
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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
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Let the number of mangoes A has, be x
and the number of mangoes B has , be y .
∴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),
34−2y+90=0
2y=124
y=62 mangoes.
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