question_answer 10)

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be \[x,\]what is the number of oranges in the larger box?

Answer:

                Given, the number of oranges in a smaller box \[=x\] Since, one larger box is emptied to fill two smaller boxes. So, the number of oranges in two smaller boxes \[=2\times \] The number of oranges in one box \[=2\,\times x=2x\] Also, 10 oranges remain outside, when large box is emptied to fill two smaller boxes. So, number of oranges in the larger box = Number of oranges in two smaller boxes + Oranges left over =\[=2x+10\] Hence, the number of oranges in the larger box is \[(2x+10)\].