divide 286 into four parts such that the first part increased by 1,second decreased by 2 ,the third multiplied by 3 and 4 / 4 will give the same result in each case.
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Step-by-step explanation:
let the four parts are a,b,c,d then
a+b+c+d = 286 then
a+1 = b-2 = 3c = d/4 = X ( let)
a+1 = X
a= x-1
b-2 = X
b = X+2
3c = X
c = X/3
d/4 = X
d = 4x
now put the values in first equation
x-1 + X+2 + X/3 + 4x = 286
6x +X/3 = 285
(18x+ X)/3 = 285
19x = 285*3
x = 285*3/19
X = 15*3 = 45
a = 45-1= 44
b = 45+2= 47
c = 45/3 = 15
d = 45*4 = 180
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