Answer:
The number is 12.
Step-by-step explanation:
As per the given statement: 8 times the difference between a number and 6 is equal to 4 times the number.
Let the number be x
Statement:
"\(\text{difference between a number and 6}\)" means x -6
"\(\text{4 times the number}\)" means 4x
"\(\text{8 times the difference between a number and 6}\)" is 8(x-6)
Then, our equation become;
\(8(x-6)=4x\)
Using distributive property; \(a\cdot(b+c) = a\cdot b+ a\cdot c\)
8x -48 = 4x
Add both sides 48 we get;
8x -48+48 = 4x +48
Simplify:
8x = 4x +48
Subtract 4x from both sides we get;
4x = 48
Divide both sides by 4 we get,
x = 12
Therefore, the number is , 12
