Question 1200952
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The original two numbers are x and x+1.<br>
After adding 6 to the first number and subtracting 2 from the second, the two numbers are x+6 and x-1.<br>
We are told that the quotient (ratio) of the two new numbers is 9/2:<br>
{{{(x+6)/(x-1)=9/2}}}<br>
The response from the other tutor shows how to solve that equation using formal algebra.<br>
Informally, the equation can be solved quickly by observing that the difference between (x+6) and (x-1) is 7, and the difference between 9 and 2 is 7.<br>
That means x+6 = 9 and x-1 = 2; both of those equations tell us that x = 3.<br>
ANSWER: The original two numbers are x = 3 and x+1 = 4<br>