Divide $37$ into two parts so that $5$ times one part and $11$ times the other are together $227$

15, 22

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30, 7

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20, 17

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25, 12

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Solution

The correct option is B $30, 7$
Let one Part be 'x' then
$5 x + 11 (37 - x) = 227$
$\Rightarrow 407 - 6 x = 227$
$\Rightarrow x = 30$ 6 other is $7$

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