Question

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 __________.

• A. 12
• B. 10
• C. 14
• D. 15

Answer 1

Answer:

A. 12

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.