Two numbers when added give 40 and when subtracted give 4. The ratio of the numbers is:

11:9

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11:18

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21:19

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22:9

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22:17

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Solution

The correct option is A
11:9

Let the number be x and y. Then,

$\frac{x + y}{x - y} = \frac{40}{4} = 10 \Leftrightarrow (x + y) = 10 (x - y) \Leftrightarrow 9 x = 11 y \Leftrightarrow \frac{x}{y} = \frac{11}{9}$

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Two numbers when added give 40 and when subtracted give 4. The ratio of the numbers is:

The correct option is A 11:9 Let the number be x and y. Then, x+yx−y=404=10⇔(x+y)=10(x−y)⇔9x=11y⇔xy=119

The correct option is A
11:9

Let the number be x and y. Then,

$\frac{x + y}{x - y} = \frac{40}{4} = 10 \Leftrightarrow (x + y) = 10 (x - y) \Leftrightarrow 9 x = 11 y \Leftrightarrow \frac{x}{y} = \frac{11}{9}$