Question

When 80 is subtracted from a number, it reduces to its 60%, what is that number?

Answer 1

let the number be x
according to the problem:-
x-80=(60/100)x
x-(60/100)x=80
(2/5)x=80
2x=80 ×5
x=400/2
=200.

Answer 2

Let the number be x.
80 subtracted from x=x - 80.
60% of x=$\frac{60}{100}$ of x
=$\frac{3}{5}$ of x
=$\frac{3x}{5}$
Therefore, by the condition ,
x - 80 =  $\frac{3x}{5}$
⇒5(x - 80)=3x
⇒5x - 400=3x
⇒5x - 3x=400
⇒2x=400
⇒x=$\frac{400}{2}$=200.
Ans:The required number is 200.
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