Question

A and b each have certain number of oranges . A says to b "if you give me 10 of your oranges i will have twice the number of oranges with you". B replies "if you give me 10 of your oranges i will have the same number of oranges as left with you. Find the number of oranges with a and b separately

Answer 1

Answer:

Step-by-step explanation:

Let A has 'x' number of oranges and B has 'y' number of oranges respectively.

Situation 1

If B gives 10 of his oranges to A then A will have twice the number of oranges as left with B.

⇒ (x + 10) = 2(y - 10)

⇒ x + 10 = 2y - 20

⇒ 2y - x = 30 ..................(1)

Situation 2

If A gives 10 of his oranges to B then B will have same number of oranges as left with A.

⇒ (x - 10) = (y + 10)

⇒ - y + x = 20 .....................(2)

Adding (1) and (2), we get.

  2y - x = 30

 - y + x = 20

___________

   y       = 50

___________

The value of y is 50.

Putting the value of y = 50 in (2), we get.

- y + x = 20

- 50 + x = 20

x = 20 + 50

x = 70

Therefore, A has 70 oranges and B has 50 oranges.

Hope it helps you....