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Write and solve an equation: Find a number such that the difference of 97 and eighteen times the number is five times one more than the number

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Answer to a math question Write and solve an equation: Find a number such that the difference of 97 and eighteen times the number is five times one more than the number

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Miles

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114 Answers

1. Let the number be

.
2. According to the problem, the difference of 97 and eighteen times the number (

18x

) is equal to five times one more than the number (

5(x+1)

).

The equation can be written as:

97 - 18x = 5(x + 1)

3. Expand the term on the right-hand side:

5(x + 1) = 5x + 5

4. Substitute back into the equation:

97 - 18x = 5x + 5

5. Bring all terms involving

to one side and constant terms to the other:

97 - 5 = 18x + 5x

6. Simplify both sides:

92 = 23x

7. Solve for

x = \frac{92}{23} = 4

Therefore, the number is

x = 4

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Write and solve an equation: Find a number such that the difference of 97 and eighteen times the number is five times one more than the number

Answer to a math question Write and solve an equation: Find a number such that the difference of 97 and eighteen times the number is five times one more than the number

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