Question

If the product of 14 and a number is decreased by 7, and then the result is divided by 5, the answer is 7. What is the unknown number?

Answer 1

the product of a 14 and a number. Product means multiply

so 14n

is decreased by 7 we subtract 7

14n-7

divided by 5

\[\frac{ 14n-7 }{ 5 } = 7 \]

multiply both sides by 5

\[\frac{ 14n-7 }{ 5 }*5 = 7 *5 \]

then add 7 to both sides

\[\frac{ 14n-7+7 }{ } = 35+7\]

\[14n = 42 \]

divide both sides by 14

\[\frac{ 42 }{ 14 } = 3 = n \]

n = 3

Answer 2

@didierr