<PRE><B>Question 29454</B>
the ratio of 2 less than a number to 6 more than that number, is 2 to 3. 
Find the number
Let the required number be N
2 less than N is (N-2)
6 more than N is (N+6)
Given that the ratio of (N-2) and (N+6) is 2/3
That is (N-2)/(N+6) = 2/3
3(N-2) =2(N+6)
3N-6=2N+12
3N-2N=12+6
N=18
Answer: The required number is 18
Verification: Ratio of (N-2) and (N+6) 
=(N-2)/(N+6) 
=(18-2)/(18+6)
=16/24
=(8X2)/(8X3)
=2/3 (cancelling 8 in the nr and in the dr)
which is correct</PRE>