Question

Form the equation: “A number is when multiplied by 12 and 48 subtracted from it, it

becomes 2

2

5

part of the original number.”​

Answer 1

Answer:

Step-by-step explanation:

Let’s name the unknown number w

and we get a simple equation:

w−48=w3

We can solve this equation with a little algebra:

w−48=w3∣×3

3w−144=w∣−w

2w−144=0∣+144

2w=144∣÷2

w=72

So the number is 72

and it works: 72−48=24 and 723 also equals 24

.

Two thirds of 72

is 48

.

And we could have had this quicker:

w

is the whole number so we basically have the 23 secretly in there all the time, if we replace the w with some number we see that w−c=w3∣+c−w3

w(1−13)=c

2w3=c

and in this case c=48