Question

Work done by (x + 4) men in (x + 5) days is equal to the work done by (x - 5) men in (x + 20) days. then the value of x is

Answer 1

(x+5)÷(x+4)=(x+20)÷(x-5)
-x-20=25x+100
-26x=

Answer 2

$(x + 4)(x + 5) = 0$
$(x - 5)(x + 20) = 0$
${x}^{2} + 5x + 4x + 20 = 0 \\ {x}^{2} + x + 20 = 0$
${x}^{2} + 20x - 5x - 100 = 0 \\ {x}^{2} + 15x - 100 = 0$
${x }^{2} + 15x = 100 \\ {x}^{2} + x = - 20 \\ 0 + 14x = 120 \\ x = 120 \div 14 \\ x = 8.6$