Question #424e2

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Answer 1 · 2017-10-25T00:36:18

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 $7$ .

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,

$A = 9 and B = 7$