Find a number 1/4th of which is 18 less than the number.
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Step-by-step explanation:
Let n = the unknown number.
If "18 less than 7 times the number is 108," then we can translate this English statement mathematically into the following equation:
7n - 18 = 108
7n - 18 + 18 = 108 + 18
7n + 0 = 126
7n = 126
(7n)/7 = 126/7
(7/7)n = 18
(1)n = 18
n = 18
CHECK:
7n - 18 = 108
7(18) - 18 = 108
126 - 18 = 108
108 = 108
Therefore, n = 18 is our desired, correct number.
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