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Let the marks of mathematics be x Than marks of science be 28-x now according to question (x+3), (28-x-4) The product of new marks will be 180 So, (x+3) (28-x-4)=180 24x-x^2+72-3x=180 x^2-21x+108=0 x^2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 (x-9)=0 than x=9 (x-12)=0than x=12 If 9 marks got... read more

Let the marks of mathematics be x

Than marks of science be 28-x

now according to question

(x+3),

(28-x-4)

The product of new marks will be 180

So,

(x+3) (28-x-4)=180

24x-x^2+72-3x=180

x^2-21x+108=0

x^2-12x-9x+108=0

x(x-12)-9(x-12)=0

(x-9)(x-12)=0

(x-9)=0 than x=9

(x-12)=0than x=12

If 9 marks got in math than 19 marks got in science

If 12 marks got in math than 16 marks got in science

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Comments

Let the marks of mathematics and science be x and 28-x respectively.Given :-Mathematics: x+3Science: 28-x-4= 24-x.: Their product=( x+3)(24-x)=24x-x^2+72-3x= 21x-x^2+72But given product= 180=> 21x-x^2+72=180=>x^2-21x-72+180=0=>x^2-21x+108=0=>x^2-12x-9x+108=0=>x(x-12)-9(x-12)=0=>(x-9)(x-12)=... read more

Let the marks of mathematics and science be x and 28-x respectively.

Given :-

Mathematics: x+3

Science: 28-x-4= 24-x

.: Their product=( x+3)(24-x)

=24x-x^2+72-3x

= 21x-x^2+72

But given product= 180

=> 21x-x^2+72=180

=>x^2-21x-72+180=0

=>x^2-21x+108=0

=>x^2-12x-9x+108=0

=>x(x-12)-9(x-12)=0

=>(x-9)(x-12)= 0

.: x= 9 or 12

When x= 9

Marks are 9 and 19

When x= 12

Marks are 12 and 16.

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1

Comments

Let the marks of mathematics be x Then marks of science be 28-x , now according to question (x+3), (28-x-4) The product of new marks will be 180 So, (x+3) (28-x-4)=180, 24x-x^2+72-3x=180 x^2-21x+108=0 x^2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 (x-9)=0 than x=9 (x-12)=0than x=12 If 9 marks got... read more

Let the marks of mathematics be x

Then marks of science be 28-x ,

now according to question

(x+3),

(28-x-4)

The product of new marks will be 180

So,

(x+3) (28-x-4)=180,

24x-x^2+72-3x=180

x^2-21x+108=0

x^2-12x-9x+108=0

x(x-12)-9(x-12)=0

(x-9)(x-12)=0

(x-9)=0 than x=9

(x-12)=0than x=12

If 9 marks got in math than 19 marks got in science

If 12 marks got in math than 16 marks got in science

read less 0

Comments

Let marks of maths be x And marks of science be y According to question X + Y =28.....(1) (X+3)(Y-4)=180......(2) (X+3)(28-X-4)=180.....(putting value of y from equation 1) (X+3)(24-x)=180 Solving the equation we will get X=12,9 Using equation 1 Y=16,19respectively read more

Let marks of maths be x

And marks of science be y

According to question

X + Y =28.....(1)

(X+3)(Y-4)=180......(2)

(X+3)(28-X-4)=180.....(putting value of y from equation 1)

(X+3)(24-x)=180

Solving the equation we will get

X=12,9

Using equation 1

Y=16,19respectively

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0

Comments

Let the marks of mathematics and science be x and 28-x respectively.Given :-Mathematics: x+3Science: 28-x-4= 24-x.: Their product=( x+3)(24-x)=24x-x^2+72-3x= 21x-x^2+72But given product= 180=> 21x-x^2+72=180=>x^2-21x-72+180=0=>x^2-21x+108=0=>x^2-12x-9x+108=0=>x(x-12)-9(x-12)=0=>(x-9)(x-12)=... read more

Let the marks of mathematics and science be x and 28-x respectively.

Given :-

Mathematics: x+3

Science: 28-x-4= 24-x

.: Their product=( x+3)(24-x)

=24x-x^2+72-3x

= 21x-x^2+72

But given product= 180

=> 21x-x^2+72=180

=>x^2-21x-72+180=0

=>x^2-21x+108=0

=>x^2-12x-9x+108=0

=>x(x-12)-9(x-12)=0

=>(x-9)(x-12)= 0

.: x= 9 or 12

When x= 9

Marks are 9 and 19

When x= 12

Marks are 12 and 16.

0

Comments

P got (X) mark in math , (28 – X) mark in science , So (X+3)((28 – X – 4) =180 .OR (X +3)( 24 – X) =180 . OR 21X – X^2 +72 = 180, OR 180 – 72 – 21X + X^2 = 0 OR 108 – 21X + X^2 = 0 . OR (X -12)(X – 9) =0 . P got... read more

P got (X) mark in math , (28 – X) mark in science , So (X+3)((28 – X – 4) =180 .OR (X +3)( 24 – X) =180 . OR 21X – X^2 +72 = 180, OR 180 – 72 – 21X + X^2 = 0 OR 108 – 21X + X^2 = 0 . OR (X -12)(X – 9) =0 .

P got mark( MATH =9 ,science =19) OR (MATH= 12,Science = 16) ANSWER .

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Comments

m >>>> Marks in maths. s >>>>> Marks in science m+s= 28 >>>>> m=28-s (m+3)(s-4)=180 (31-s)(s-4)=180 -s^2+35s-124=180 s^2-35s+304=0 (s-16)(s-19)=0 s=16, 19 When s=16, m=12 When s=19, m=9 Hence the possible marks in subject maths and science are respectively (9,... read more

m >>>> Marks in maths.

s >>>>> Marks in science

m+s= 28 >>>>> m=28-s

(m+3)(s-4)=180

(31-s)(s-4)=180

-s^2+35s-124=180

s^2-35s+304=0

(s-16)(s-19)=0

s=16, 19

When s=16, m=12

When s=19, m=9

Hence the possible marks in subject maths and science are respectively (9, 19); (12, 16).

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0

Comments

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