fourth fifths of a number exceeds two thirds of the number by 10.
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Let the number required is x
(4/5) x-10 = (2/3) x
On rearranging, (4/5) x-(2/3) x = 10
Now taking the L.C.M of 3 and 5 is 15
(12x-10x)/15=10
On cross multiplication,
2x=150
x=150/2=75
So the required number is 75
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