Natu and Buchku each have certain number of oranges. Natu says to Buchku,If you give me 10 of your oranges, I will have twice the number of oranges left with you". Buchku replies,"If you give me 10 of your oranges, I will have the same number of oranges as left with you". What is the number of oranges with Natu and Buchku, respectively?
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Answer:
Number of oranges with
Natu = 70 and Buchku=50
Step-by-step explanation:
Let the number of oranges with Natu be x.
Let the number of oranges with Buchku be y.
A.T.Q.
x+10 = 2(y-10) ----1
y+10 = x-10 ----- 2
1-->
x+10 = 2y-20
x= 2y-30 ------3
2-->
y+10= x-10
y+20= x ------4
From 3 and 4,
2y-30 = y+20
y=50 ------5
Substituting 5 in 4,
50+20= x
x= 70
∴ Number of oranges with
Natu = 70 and Buchku=50
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