Sixty more than nine times a number is the same as two less than ten times the number. What is the number?

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Set Up Equation: Let's denote the unknown number as 'x'. According to the problem, sixty more than nine times the number (9x + 60) is the same as two less than ten times the number (10x - 2). We can set up the following equation to represent this relationship: 9x + 60 = 10x - 2Solve for x: Now, we need to solve for 'x'. Let's move all terms involving 'x' to one side and constant terms to the other side. We can subtract 9x from both sides to get: 9x + 60 - 9x = 10x - 2 - 9x This simplifies to: 60 = x - 2Isolate x: Next, we add 2 to both sides to isolate 'x': 60 + 2 = x - 2 + 2 This gives us: 62 = xCheck Solution: We have found the value of 'x'. To ensure there are no math errors, we can substitute 'x' back into the original equation to check if both sides are equal: 9x + 60 = 10x - 2 9(62) + 60 = 10(62) - 2 558 + 60 = 620 - 2 618 = 618 Since both sides are equal, our solution is correct.

Sixty more than nine times a number is the same as two less than ten times the number. What is the number?

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