SOLUTION: when 40% of a number is added to 42 the result is the number itself. find the number.

Question 980388: when 40% of a number is added to 42 the result is the number itself. find the number.
Found 3 solutions by MathLover1, rfer, macston:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let's number be
when % or of a number is added to the result is the number itself, then the number is
.....solve for

so, the number is

check:
if the number is , than
if added to we have which is a number itself

Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
0.40x+42=x
0.40x-x=-42
-0.60x=-42
x=-42/-0.60
x=70
--------------
0.40*70+42=70
70=70
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
To add 40% and get the number, you must already have 60%.
So the question translates to 42 is 60% of what number?
42/0.60=70 ANSWER: The number is 70.
.
CHECK:
Find 40% of the number:
(0.40)(70)=28
Add 40% to 42
28+42=70
And get the number, 70.

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