If three numbers are in the ratio of 1:2: 3 and half their sum is 18, then the ratio of squares of the numbers is:

6:12:18

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4:1:9

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1:4:9

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2:4:6

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None of these

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Solution

The correct option is C 1:4:9
Ratio of squares
$= (1 \times x)^{2} : (2 \times x)^{2} : (3 \times x)^{2} = 1^{2} : 2^{2} : 3^{2} = 1 : 4 : 9$

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Three positive numbers are in the ratio $\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$ . Find the numbers if the sum iof their squares is 244.

\frac{1}{2} : \frac{1}{3} : \frac{1}{4}

244

\frac{1}{2} : \frac{1}{3} : \frac{1}{4}

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