SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 7 of 100

Marks: +1, -0

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 ?

50, 20
70, 50
20, 50
50, 70

Validate

Solution:

(2) Let the number of oranges with Natu be x.
Number of oranges with Buchku = y
Case I,

x+10=2(y-10)

⇒ x+10=2 y-20

⇒ 2 y-x=20+10=30..(i)

Case II,

y + 10 = x – 10

⇒ x - y = 10 + 10 = 20 ... (ii)

On adding equations (i) and (ii),

2y – x + x – y = 30 + 20

⇒ y = 50

From equation (ii),

x – 50 = 20

⇒ x = 50 + 20 = 70

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