Question

A toy factory manufactured a batch of electronic toys. if the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. if the boys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. coincidentally, in the end, the toys were packed n in boxes containing n toys each, without any remainder. the total number of toys was

Answer 1

115 * 13 = 1495
65 * 22 = 1430
This means that the toys are between these values. Since n toys can be packed in n no. of boxes , therefore, between 1495 and 1430 a perfect square no. is the answer. But there is only one perfect square, i.e. 1444 .
Therefore, total no. of toys were 1444.

Answer 2

Answer:

115 * 13 = 1495

65 * 22 = 1430

This means that the toys are between these values. Since n toys can be packed in n no. of boxes , therefore, between 1495 and 1430 a perfect square no. is the answer. But there is only one perfect square, i.e. 1444 .

Therefore, total no. of toys were 1444.

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