Question

The sum of three numbers is 116. The ratio of second to the third is 9:16 and the first to the third are 1:4. The second number is. तीन संख्याओं का योग 116 है। दूसरे से तीसरे का अनुपात 9:16 है और पहला से तीसरे 1: 4 है। दूसरा नंबर है।

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Answer 1

Let the 1st number be x. Then, third number =4x

Given,

3rd number

2nd number

=

16

9

⇒

4x

2nd number

=

16

9

⇒2nd number=

16

9

×4x=

4

9

x

Given, x+

4

9x

+4x=116

⇒4x+9x+16x=116×4

⇒29x=116×4⇒x=

29

116×4

=16

∴2nd number=

16

9 ×4×16=36

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