Question

If 930 is added to a number then the number become 444(4/9)% of itself . Find the original number.

Answer 1

Answer:

X+930=444(4/9)%x

X+930=4000x/900

x+930=40x/9

(40x/9)-x=930

31x/9=930

X=30×9

X=270

Answer 2

Concept: The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.

Given: 930 is added to a number

           number become $444\frac{4}{9}$% of itself

To find: the original number

Solution:

Let the original number be x.

if 930 is added to a number means x + 930

the number become $444\frac{4}{9}$% of itself means $\frac{4000}{9*100}$ × x

Now, according to question,

x + 930 = $\frac{4000}{9*100}$ × x

x + 930 = $\frac{4000x}{900}$

900 (x +930) = 4000x

900x + 837000 = 4000x

837000 = 4000x - 900x

837000 = 3100x

$\frac{837000}{3100}$ = x

270 = x

Hence, the original number is 270.

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