divide 286 into four parts such that the first part increased by 1,the second decreased by 2 the third multiplied by 3 and the fourth divided by 4 will give same result in each case.
mahmadwani99:
what method should i use??
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We can divide 286 into w,x,y and z.
We know that w+1=x-2=3y=z/4
So, 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.
so, 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
so, 3x-9/3 + 3x + x-2/3 + 12-24/3 = 858.
And that equals to 19x-35=858
19x=893
x=47.
so, w=47-3=44
so, y=47-2/3= 15
so,z=47*4-8= 180
check:- 47+44+15+180= 286
YAAAAYYYY!!!! :)
We know that w+1=x-2=3y=z/4
So, 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.
so, 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
so, 3x-9/3 + 3x + x-2/3 + 12-24/3 = 858.
And that equals to 19x-35=858
19x=893
x=47.
so, w=47-3=44
so, y=47-2/3= 15
so,z=47*4-8= 180
check:- 47+44+15+180= 286
YAAAAYYYY!!!! :)
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