AP ICET 2019 Shift 2 Paper

Question : 126 of 200

Marks: +1, -0

P and Q have a certain number of Mangos. P says to Q: “If you give me 30 of your mangoes. I will have twice as many as left with you". Then Q replies as “If you give me 10 mangoes. I will have thrice as many as left with you". Then how many mangoes P had at the beginning?

Validate

Solution:

Let the initial number of marbles with P and Q be x and y
According to the question

2(y-30)=(x+30) ⇒ x-2 y=-90

→ (1)

y+10=3(x-10) ⇒ 3 x-y=40

→ (2)
Solving (1) & (2), we get

x = 34

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