Question

if a+b=5. find the value of 1/2a + 1/2b​

Answer 1

Answer:

If a + b = 5

then

1/2a + 1/2b = 1/2(5)

1/2(5)=5/2

5/2 = 2.5

Answer 2

Step-by-step explanation:

$a + b = 5 \\ a = 5 - b \\ \\ a + b = 5 \\ b = 5 - a \\ \\ \frac{1}{2} a + \frac{1}{2} b \\ = ( \frac{1}{2} \times (5 - b)) + ( \frac{1}{2} \times (5 - a)) \\ = \frac{5 - b}{2} + \frac{5 - a}{2} \\ = \frac{5 - b + 5 - a}{2} \\ = \frac{5 + 5 - a - b}{2} \\ = \frac{10 -(a + b)}{2} \\ = \frac{10 - 5}{2} \\ \boxed{ = \underline{ \underline{ \bf \frac{5}{2} }}}$