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Solution


Q.

Tanisha and Aditya have some chocolates with them such that

• If Tanisha were to give 6 chocolates to Aditya, the new quantity of chocolates with each of them would be equal.

• Instead, if Aditya were to give 3 chocolates to Tanisha, then Tanisha would have four times as many chocolates as Aditya initially had.

Which of these pairs of equations would help us find the number of chocolates that they have

(Note: Assume the initial number of chocolates with Tanisha as 'x' and that with Aditya as 'y'.)
1 x – 6 = y + 6; x + 3 = 4(y – 3)  
2 x – 6 = y + 6; x + 3 = 4y  
3 x + 6 = y – 6; x – 3 = 4y  
4 x – y = 6; x = y  

Ans.

(2)

Initial number of chocolates with Tanisha = x

Initial number of chocolates with Aditya = y

Case I: x – 6 = y + 6

Case II: x + 3 = 4y