Question

P and Q each have certain number of apple. A says to B, ''if you give me 10 pf your apple, I will have twice the number of apple left with you''. B replies, '' if ypu give me 10 of your apple , I will the same number of apple as left with you ''. find the number of apple with P and Q separately​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

: P says to Q, “if you give me 10 of your apples, I will have twice the number of apples left with you”.

Then, we have 

p + 10  =  2(q - 10)

p + 10  =  2q - 20

Subtract 2q and 10 from each side.

p - 2q  =  - 30 -----(1)

Given : Q says to P, “if you give me 10 of your apples, I will the same number of apples as left with you.”

Then, we have

q + 10  =  p - 10

Subtract p and 10 from each side. 

- p + q  =  - 20 -----(2)

In order to eliminate p in (1) and (2), add (1) and (2). 

- q  =  - 50

Multiply each side by (-1). 

q  =  50

Substitute 50 for q in (1). 

(1)-----> p - 2(50)  =  - 30

p - 100  =  - 30

Add 100 to each side. 

p  =  70

So, P and Q originally have 70 and 50 mangoes respectively.