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# Had Ravita scored 10 more marks in her Mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?

Eco, Maths and Stats Tutor

Let Ravita's score be x out of 30. We first form an equation based on the information provided in the question. The equation turns out to be 9(x+10)=x^2 -> x^2-9x-90=0 -> (x-15)(x+6)=0 SO, the possible values of x are x= 15 or -6. As we can ignore -6 (why?), this tells us Ravita score 15 in her...
Let Ravita's score be x out of 30. We first form an equation based on the information provided in the question. The equation turns out to be 9(x+10)=x^2 -> x^2-9x-90=0 -> (x-15)(x+6)=0 SO, the possible values of x are x= 15 or -6. As we can ignore -6 (why?), this tells us Ravita score 15 in her Math test. read less

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Let the marks scored in Mathematics be x. As given, 9( x+10 ) = x2 x2-9x-90 = 0 x2-15x+6x-90 =0 x(x-15)+6(x-15) = 0 (x+6)(x-15) = 0 Therefore, x = 15 ( x = -6 is ignored)

Coaching Institute

let's take marks scored as 'x' now had (x+10)*9 = x^2 9x+90=x^2 x^2-9x-90=0 x^2-15x+6x-90=0 x(x-15)+6(x-15)=0 hence (x+6)(x-15) = 0 therefore x = -6 ; x = 15 hence she got 15 marks in her test.

Maths Tutor

15

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