Question

In a class test,the sum of shefali's marks in mathematics and English is 30. had she got 2marks more in mathematics and 3marks less in English,the product if their marks would have been 210. find her marks in the two subject​

Answer 1

Answer:

let Shefali get x marks in mathematics and y marks in english

so , x+y=30

=> x=30-y

if she got (x+2) marks in mathematics and (y-3) marks in english then,

(x+2)(y-3)=210

=> (30-y+2)(y-3)=210

=> (32-y)(y-3)=210

=> 32y-y^2-96+3y=210

=> -y^2+35y-96-210=0

=> -y^2+35y-306=0

=> -y^2+35y-306=0

=> -y^2+18y+17y-306=0

=> y(-y+18)-17( -y+18)=0

=> (18-y)(y-17)=0

18-y=0

=> y=18,

again,

y-17=0

=> y=17

so, x=30-18=12

x=30-17=13

her marks in two subjects are 12 and 18

again her marks in two subjects are 13 and 17