SSC CGL 2017 PYQ — Question 7

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q7

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?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 70, 50

Understanding

Application

Suppose Natu and Buchku has P and Q oranges respectively.

So,

P + 10 = 2 × (Q – 10)

⇒ P – 2Q = -30

And

P – 10 = Q + 10

⇒ P – Q = 20

Solving both the equations.

We get:

⇒ P = 70 and Q = 50

Hence, number of oranges with Natu and Buchku are 70 and 50 respectively.