If the sum of two numbers is 33 and their difference is 15, the smaller number is :

9

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12

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15

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18

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Solution

The correct option is A $9$
Let the numbers be $x$ and $y$ .

Since,
$x + y = 33$ $. . . . . . . (1)$
$x - y = 15$ $. . . . . . . . (2)$

On solving equation $(1)$ and $(2)$ , we get
$x = 24, y = 9$

Hence, the smallest number is $9$ .

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