Question #424e2

1 Answer

Answer:

I am assuming that you want to find TWO numbers that give you #16# when you add and #2# when you subtract the second from the first number.

The first number is #9#. The second number is #7#.

Explanation:

If your question is different, let me know.

Let the two numbers be #A# and #B#.

We are given that

#A + B = 16 " "#(Equation 1)

#A - B = 2" "# (Equation 2)

Using Equation 1, we can find the value of #A# as follows:

#A = (16 - B)#

Substitute this value of #A# in Equation 2. We get

#(16 - B) - B = 2#

That is,

#16 - B - B = 2#

#16 - 2B = 2#

#-2B = 2 - 16#

#-2B = -14#

#2B = 14#

#B = (14/2) = 7#

Substitute this value of #B# in Equation 1, to find the value of #A#

#A + 7 = 16#

#A = 16 - 7 #

#A = 9#

Hence,

#A = 9 and B = 7#