SOLUTION: Jack and Harry think of the same number. Jack adds 2 to his number, and then multiplies by 5. Harry multiplies his number by 7 and then subtracts 6. They both get the same an

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Question 1093674: Jack and Harry think of the same number.
Jack adds 2 to his number, and then multiplies by 5.
Harry multiplies his number by 7 and then subtracts 6.
They both get the same answer.
What number did they both think of?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let n = the number
:
Jack and Harry think of the same number.
Jack adds 2 to his number, and then multiplies by 5.
5(n+2)
Harry multiplies his number by 7 and then subtracts 6.
7n - 6
They both get the same answer.
therefore:
7n - 6 = 5(n + 2)
7n - 6 = 5n + 10
7n - 5n = 10 + 6
2n = 16
n = 16/2
n = 8 is the number
:
You can confirm this yourself in both statements by replacing n with 8