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A, B, and C together have 60 toffees. A has 25 toffees, and C has 5 fewer toffees than B. How many toffees must be added to C so that the final number of toffees with A, B, and C is in the ratio 5 : 4 : 6, respectively?

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  1. 29
  2. 22
  3. 15
  4. 11
  5. 19

Answer (Detailed Solution Below)

Option 3 : 15
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Detailed Solution

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Calculation

Total toffies B and C has = 60 – 25 = 35

Let total toffies B has = x

So, total toffies C has = x – 5

ATQ, [2x – 5] = 35

Or, 2x = 40, x = 20

Let y toffies added with C to found resultant ratio

So, [15 + y]/ 20 = [6/4]

Or, 15 + y = 30

So, y = 15

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