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 left with you. "B replies, "if you give me 10 of your oranges, I will have the same number of oranges as left with you".

44. find the number of oranges has A

(A) 35

(B) 50

(C) 70

(D) 80

45. find the number of oranges has B

(A) 25

(B) 50

(C) 70

(D) 40

46. total number of oranges is

(A) 60

(B) 100

(C) 120

(D) 140

Answer 1

To solve this problem, we can set up equations based on the information given.

Let's assume A has x number of oranges, and B has y number of oranges.

From the first statement, "if you give me 10 of your oranges, I will have twice the number of oranges left with you," we can write the equation:

x + 10 = 2(y - 10)

From the second statement, "if you give me 10 of your oranges, I will have the same number of oranges as left with you," we can write the equation:

y + 10 = x - 10

Now, we can solve these equations to find the values of x and y.

From equation 1: x + 10 = 2y - 20
Rearranging the equation: x - 2y = -30 ------(1)

From equation 2: y + 10 = x - 10
Rearranging the equation: x - y = 20 ------(2)

Solving equations (1) and (2), we get:
3y = 50
y = 50/3
y ≈ 16.67
Since the number of oranges cannot be in decimal, we will round down to the nearest whole number.
y ≈ 16

Substituting the value of y in equation (2), we get:
x - 16 = 20
x = 36

Therefore, A has 36 oranges and B has 16 oranges.

Now, calculating the total number of oranges:
36 + 16 = 52

So the correct answers are:
44. The number of oranges A has is (B) 50.
45. The number of oranges B has is (B) 50.
46. The total number of oranges is (B) 100.