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The ratio of number of balls in bag A and bag B is 6 : 8 respectively. If six balls are transferred from bag B to bag A, then number of balls are equal in each bag. Find the number of balls in bag B initially?
  • a)
    30
  • b)
    36
  • c)
    42
  • d)
    48
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of number of balls in bag A and bag B is 6 : 8 respectively....
GIVEN:
Ratio of number of balls in the Bag A and B = 6 : 8
Six balls are transferred from bag B to A
CALCULATION:
Let number of balls in bag A be 6x and in bag B be 8x.
As per the question,
8x - 6 = 6x + 6  ⇒ 8x - 6x = 6 + 6
⇒ x = 6
No. of ball in bag B = 8x = 8 x 6 = 48 balls
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Most Upvoted Answer
The ratio of number of balls in bag A and bag B is 6 : 8 respectively....
Ratio of the number of balls in bag A to bag B is given as 6 : 8.

Let the initial number of balls in bag A be 6x and in bag B be 8x.

According to the question, 6 balls are transferred from bag B to bag A. After this transfer, the number of balls in bag A and bag B becomes equal.

So, we can set up the following equation:

6x + 6 = 8x - 6

Simplifying the equation, we get:

6x + 6 = 8x - 6
12 = 2x
x = 6

Now, we can find the number of balls in bag B initially:

Number of balls in bag B = 8x = 8 * 6 = 48

Therefore, the number of balls in bag B initially is 48.

Hence, the correct answer is option D) 48.
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The ratio of number of balls in bag A and bag B is 6 : 8 respectively. If six balls are transferred from bag B to bag A, then number of balls are equal in each bag. Find the number of balls in bag B initially?a)30b)36c)42d)48Correct answer is option 'D'. Can you explain this answer?
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