Question

Which number Decreased by 40% is 60 ?

Answer 1

decrease 40% , coefficient =1-(40/100)=0.6

x =the number

0,6x=60

x = 60/0,6=100

number 100

check:

100-(100*40)/100 = 60

or

100*0.6=60

Answer 2

To find the original number that decreased by 40% is 60, set up the equation x × (1 - 0.4) = 60. Solve for x to find that the original number is 100.

Step-by-step explanation:

The student is asking for the original number that, when decreased by 40%, results in 60. To solve this, we can use the formula:

Original Number × (1 - Percentage Decrease) = Resulting Number

Let "x" be the original number. Then we translate the percentage decrease into decimal form by dividing 40 by 100, which equals 0.4. The equation becomes:

x × (1 - 0.4) = 60

Simplifying further:

x × 0.6 = 60

To find "x", divide both sides of the equation by 0.6:

x = 60 / 0.6

x = 100

Therefore, the original number that decreased by 40% equals 60 is 100.