Question

In an examination,ramya got 9 marks less than twice that of udaya got . product of their marks is 195 . who got more marks ? how much ?​

Answer 1

2x - 9 +x = 195

3x = 204

x = 68

Rama = 2x -8 = 127

udaya = x = 68

Answer :-

Step by step :-

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Answer 2

$Ramaya\:got\:more\:marks$

Let Udaya's got "x" marks.

therefore,
Ramya's marks: 2x - 9

according to the question,

x(2x-9) = 195

➡${2x}^{2} - 9x = 195$

➡${2x}^{2} - 9x - 195 = 0$

➡${2x}^{2} + 15x - 26x - 195 = 0$

➡ 2x(x-13) + 15(x-13) =0

➡(x-13)(2x+15) = 0

➡ either,

x = 13 or, x = -15/2

since, Marks can't be negative,
so, Udaya's marks = 13

Ramaya's marks = 15

therefore,

Ramya got more marks. She got 9 marks more than Udaya.