Two numbers are in the ratio $7 : 10$ . If the larger number is $140$ , what is the smaller number.

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Solution

Given that nos. are in ratio $7 : 10$
The larger no. is $140$
Let the smaller no. be $x$
Using ratio and proportion
$7 : 10 :: x : 140 \Rightarrow 10 \times x = 140 \times 7 \Rightarrow x = \frac{140 \times 7}{10} = 98$

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