A and B have some toffees. If A gives one toffee to B, then they have equal number of toffees. If B gives one toffee to A, then the toffees with A are double with B. The total number of toffees with A and B are __________. 

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 3)
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  1. 12
  2. 10
  3. 14
  4. 15

Answer (Detailed Solution Below)

Option 1 : 12
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Calculation

let the number of toffee with A be x and with B be y.

If A gives one toffee to B, then:

⇒ x - 1 = y + 1

⇒ x = y + 2  .........(1)

Now when B gives one toffee to A, then the toffees with A are double with B:

⇒ x + 1 = 2 (y - 1)  ......(2)

Putting the value of eq.(1) in eq. (2).

⇒ y + 3 = 2y - 2

⇒ y = 5

If y = 5 then x = 7.

⇒ x + y = 12

The total number of toffees with A and B are 12.

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