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120 kites were divided equally among a certainnumber of children in a school. If four childrenwere less, each would have got i kite moreFind the number of children. |
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Answer» let number of children= xeach get = 120/x4 children less number of children= x-4each get = 120/x-4A/S120/x-4-120/x=1120(x- x+4/x(x-4)=1120×4/x^2-4x=1x^2-4x=480x^2-4x-480=0x^2-24x+20x-480=0x(x-24)+20(x-24)=0(x-24)(x+20)=0either x-24=0 x= 24or x+20=0 x= -20(no of children never be negetive)so number of children= 24 chidren=x; each =120/x; NO. is chikdren=x-4each get=x-4 , 120/x-4-120/x=1; 120(x, x+4-/x( x-4)=1; 120x4/x^2-4x=1;; x^2-4x=-480, x^2-24x+20x-480=0. x(x-24)+20( x-24)=0;(x-24)(x+20); x=24; x=20 |
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