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

Sagot :

D3xt3R
Let's call:

[tex]first\#=x[/tex]

[tex]second\#=y[/tex]

then

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

[tex]\begin{Bmatrix}x+y&=&95\\x-y&=&61\end{matrix}[/tex]

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

[tex]x+y+(x-y)=95+61[/tex]

[tex]x+y+x-y=156[/tex]

[tex]2x=156[/tex]

[tex]\boxed{x=78}[/tex]

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

[tex]x-y=61[/tex]

[tex]78-y=61[/tex]

[tex]y=78-61[/tex]

[tex]\boxed{y=17}[/tex]

[tex]\boxed{\boxed{\begin{Bmatrix}x&=&78\\y&=&17\end{matrix}}}[/tex]
452
[tex] \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[/tex]

First number 78, and the second is 17 .
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