Question

Divide 286 into four parts such that first part increased by 1 second decreased by 2 third multiplied by 3 and fourth divided by 4.Give result in each case

Answer 1

we can divide 286 into w,x,y and z.
it is known  that w+1=x-2=3y=z/4
∴ we make all of them into terms of x. 
w=x-2-1=x-3
x=x
y=x-2/3
z=4x-8
and we know that w+x+y+z=286.
∴ x-3+x+x-2/3+4x-8=286.
but x-2 is not divisible by 3, so, make 3 a common denominator and multiply 286 by 3
∴ 3x-9/3 + 3x + x-2/3 + 12-24/3 = 858.
n that = 19x-35=858
19x=893
x=47.
∴ w=47-3=44
∴ y=47-2/3= 15
∴z=47*4-8= 180