if you multiply me by 7, subtract 2, then divide by 6, you get 9. what number am I?
The answer is 8, by adding 9 and 6 you get 15, subract 15 by 7, you get 8.
The number is 8.
Divide the problem into 4 parts to make it easy.
Let the number be x.
if you multiply me by 7,
\(x\times 7 = 7x\)
subtract 2,
\(7x-2\)
then divide by 6,
\(\dfrac{7x-2}{6}\)
you get 9,
\(\dfrac{7x-2}{6} =9\)
Solving the equation for x,
\(\dfrac{7x-2}{6} =9\\\\7x-2 = 9\times 6\\7x-2 = 54\\7x = 54+2\\7x = 56\\\\x = \dfrac{56}{7}\\\\x = 8\)
Hence, the number is 8.
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