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?
Answers
Answered by
4
Answer:
62 mangoes
Step-by-step explanation:
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
Answered by
1
Answer:
A-34,B-62
Step-by-step explanation:
Let A have x mangoes, B y mangoes
A/Q
If A takes
x+30=2(y-30)
x+30=2y-60
x-2y=-90. (1). *3
If B takes
3(x-10)=y+10
3x-30=y+10
3x-y=40. (2)
3x-6y=-270
-3x+y=-6=40
5y=310
y=62
x=-90+124=34
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