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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?
Given:
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.
The number of oranges in a small box is taken to be \( x \).
To do:
We have to find the number of oranges in the larger box.
Solution:
Number of oranges in a small box $=x$
This implies,
Number of oranges in two small boxes $= 2\times x$
$=2x$
Number of oranges remaining outside $= 10$
Therefore,
Number of oranges in larger box $=$ Number of oranges in two small boxes $+$ Number of oranges remaining
$= 2x + 10$
Hence, the number of oranges in the larger box is $2x + 10$.