Question
Download Solution PDFA 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 __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
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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