Question : Divide 37 into two parts so that 5 times of one part and 11 times of the second part are together 227.
Option 1: 15 and 22
Option 2: 20 and 17
Option 3: 25 and 12
Option 4: 30 and 7
Correct Answer: 30 and 7
Solution :
Let the first part be $x$, then the second part becomes $(37-x)$.
According to the question,
$5x + 11(37-x) = 227$
or, $407 − 6x = 227$
or, $x = 30$
So, first part will be $x = 30$ and second part will be $37-x = 37 - 30 = 7$
Hence, the two parts are 30 and 7.
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