Two numbers are in the ratio of $3 : 7$ if the difference is $24$ , then the smallest number is_____.

18

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22

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16

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24

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Solution

The correct option is B $18$
solution:
let the two numbers who are in the ratio $3 : 7$ be a , b
$a - b = 24$
$7 x - 3 x = 24$
$4 x = 24$
$x = 6$
the smallest number is 3x = 3x 6 = 18
hence the correct opt: A

Suggest Corrections

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\frac{a}{b} = \frac{13}{16}

\frac{b}{c} = \frac{2}{3} = \frac{16}{24}

i . e, a : b : c = 13 : 16 : 24.