Question 1093674
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