Question

A and B have certain number of oranges. If B gives 10 oranges to A then A will have twice the number of oranges left with B.If A gives 10 oranges to B then both have the same same number of oranges.Find the number of oranges with A and B.

• A. A = 80, B = 40
• B. A = 70, B = 50
• C. A = 50, B = 50
• D. A = 10, B = 50

Answer 1

The correct option is B

A = 70, B = 50

Let A have x oranges and B have y oranges.

according to first condition

B gives 10 oranges to A $\Rightarrow$ x + 10 and y - 10

$\Rightarrow$ x + 10 = 2(y - 10)

$\Rightarrow$ x - 2y = -30............(i)

according to second condition

A gives 10 oranges to A $\Rightarrow$ x - 10 and y + 10

$\Rightarrow$ x - 10 = y + 10

$\Rightarrow$ x - y = 20...................(ii)

solving (i) and (ii) we get

x = 50, y= 70