Simple....But I decided to ask it anyway. xD
The sum of two numbers is 110. Their difference is 28. What is the smallest of the two numbers?
A. 56
B. 41
C. 69
D. 55
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Parth (parthkohli):
System of equations. Nuff said.
OpenStudy (apoorvk):
Okay then, then post what answer you got 'anyway'.
OpenStudy (anonymous):
41
Parth (parthkohli):
\(\Large \color{MidnightBlue}{\Rightarrow x + y = 110 }\)
\(\Large \color{MidnightBlue}{\Rightarrow x - y = 28 }\)
Eliminate y by adding.
OpenStudy (anonymous):
how
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Parth (parthkohli):
\(\Large \color{MidnightBlue}{\Rightarrow 2x = 138 }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = 69 }\)
As x is bigger, then x - 28 = y....69 - 28 = 41
Parth (parthkohli):
Get it?
OpenStudy (anonymous):
i got 69 also
Parth (parthkohli):
41 is the answer.
Parth (parthkohli):
it's asking for the smaller number, right?
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OpenStudy (anonymous):
Yes
Parth (parthkohli):
So, it is 41
OpenStudy (merchandize):
The sum of two numbers is 110; x + y = 110
Their difference is 28; x - y = 28
x = 1/2(110 + 28) = 69
y = 41
The smaller of the two numbers is 41.
OpenStudy (anonymous):
:D
OpenStudy (anonymous):
how did u get 41
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Parth (parthkohli):
x = 69{The larger number}
69 - y = 28
As shown
-y = -41
y = 41