Write an equation for the given sentence then solve the equation for the given variable.

A number is divided by three and then the quotient is increased by 7. The result is 17. What is the number?

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Answer:

n/3 + 7 = 17

n = 30

Step-by-step explanation:

Solving for 'n':

subtract 7 from each side first to get:

n/3 = 10

cross-multiply to get:

n = 30

Check:

30/3 + 7 = 17

10 + 7 = 17

17 = 17