Divide 500 into two parts such that one third of the first part is more by 60 than one fifth of the second part.
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Let the first part be x and the second part be y.
Hence, 1/3x = y-40
And, y= 1/3x + 40
Therefore, (1/3x + 40)+ x = 400
1/3x + x = 360
4/3x = 360
x = 360* 3/4
x = 270 ( first part )
y = 1/3x + 40 = 130
or
Let the first part be x and the second part be y.
Hence, 1/3x = y-40
y= 1/3x + 40 and
x+y =400
(1/3x + 40)+ x = 400
1/3x + x = 360
4/3x = 360
x = 360* 3/4
x = 270
y = 1/3x + 40 = 130
so two part of 400 are 270 and 130.
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