Find the ratio whose terms differ by $40$ and whose simplified form is $\frac{2}{7}$ .

15 : 55

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2 : 42

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16 : 56

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56 : 16

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Solution

The correct option is C $16 : 56$
Let the ratio be $x : (x + 40)$ .
Given $\frac{x}{x + 40} = \frac{2}{7}$
or $7 x = 2 x + 80 ⟹ x = 16$
Therefore, ratio is 16 : 56.

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Similar questions

The ratio whose terms differ by 40 is 2 : 7. The smallest number is ___.

\frac{2}{7}

\sqrt[6]{15 - 2 \sqrt{56}} \sqrt[3]{\sqrt{7} + 2 \sqrt{2}}

\frac{7}{11} \times \frac{5}{6}

H C F

16

56

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