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Dahasolnce [82]
3 years ago
5

The sum of two numbers is 95, and their difference is 61. What are the two numbers?

Mathematics
2 answers:
BARSIC [14]3 years ago
8 0
Let's call:

first\#=x

second\#=y

then

when we have a SUM, we have PLUS and when we have a DIFFERENCE, we have MINUS... Let's go then...

\begin{Bmatrix}x+y&=&95\\x-y&=&61\end{matrix}

now we can sum all the rows then we got it... (This is the other way to solved this question)

x+y+(x-y)=95+61

x+y+x-y=156

2x=156

\boxed{x=78}

now we can replace this value at first or at second row, you just need to pick up one...

I'll choose the second one

x-y=61

78-y=61

y=78-61

\boxed{y=17}

\boxed{\boxed{\begin{Bmatrix}x&=&78\\y&=&17\end{matrix}}}
Ipatiy [6.2K]3 years ago
3 0
\left \{ {x+y=95} \atop {x-y=61}} \right. \\
\\2x=156\\x= \frac{156}{2} \\
\\x=78\\
\\y=95-y\\y=95-78\\y=17

First number 78, and the second is 17 .
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