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If p : q=9: 2, then find the ratio (4p+7q): (4p -7q)
Question

If p : q=9: 2, then find the ratio (4p+7q): (4p -7q)

A.

11:6

B.

11:13

C.

25:11

D.

50:13

Correct option is C

Given:

p : q= 9: 2,

Solution: 

Let p = 9x , q = 2x 

(4p+7q):(4p7q) 4×9x+7×2x:4×9x7×2x(4p+7q): (4p- 7q)​ \\\ \\4\times9x +7\times2x : 4\times9x - 7\times2x  

= 50x : 22x 

= 25 : 11

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