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Two numbers are in the ratio 3 : 4. If the sum of their squares is 900. then what is the smaller number ?

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Two numbers are in the ratio 3 : 4. If the sum of their squares is 900. then what is the smaller number ?
1. 18
2. 22
3. 24
4. 27
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Correct Answer - Option 1 : 18

Let two numbers = 3x, 4x

According to question;

(3x)2 + (4x)2 = 900

9x2 + 16x2 = 900

25x2 = 900

x2 = 36

x = 6

Numbers = 18, 24

Hence, 18 is the smallest number.

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