Let the unknown number be x.
"When 56 is added to a number": x + 56
"the answer is the same": =
"as multiplying the number by 9": x * 9, or 9x
9x = x + 56
Subtract x from both sides.
9x - x = x - x + 56
8x = 56
Divide both sides by 8.
8x/8 = 56/8
x = 7
Answer: The number is 7.
The number that when added to 56 is same as multiplying the number by 9 is; 7
Let the number that is added to 56 be x.
We are now told that the sum of 56 and the number is same as multiplying the number by 9.
Thus;
x + 56 = 9x
Using subtraction property of equality, subtract x from both sides to get;
9x - x = 56
8x = 56
Use division property of equality to divide both sides by 8 to get;
x = 56/8
x = 7
In conclusion, the unknown number is gotten to be 7.
Read more about algebra word problems at; https://brainly.com/question/4803744
