22.(DECEMBER 2005/Q39) MEDIUM If $$ x $$ and $$ y $$ are positive integers and $$ x-y=5 $$, what is the least possible value of $$ x+y $$ ? A. 10 B. 9 C. 8 D. 7 E. 6

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We are given that $$ x-y=5 $$ and both $$ x $$ and $$ y $$ are positive integers.

1. Express $$ x $$ in terms of $$ y $$:

$$
   x = y + 5
   $$

2. Write the expression for $$ x+y $$:

$$
   x+y = (y+5)+y = 2y+5
   $$

3. To minimize $$ x+y $$, we need to use the smallest possible positive integer for $$ y $$. Since $$ y $$ is a positive integer, the smallest value is $$ y=1 $$.

4. Substitute $$ y=1 $$ into the expression:

$$
   x+y = 2(1)+5 = 2+5 = 7
   $$

Thus, the least possible value of $$ x+y $$ is $$ 7 $$.
The least possible value of $$ x+y $$ is 7.

22.(DECEMBER 2005/Q39) MEDIUM
If and are positive integers and , what is
the least possible value of ?
A. 10
B. 9
C. 8
D. 7
E. 6

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22.(DECEMBER 2005/Q39) MEDIUM If and are positive integers and , what is the least possible value of ? A. 10 B. 9 C. 8 D. 7 E. 6