if you add two three digit number what is the smallest three number you will get?
Answers
♣ Given:−
\begin{gathered} \sf{2A + 2B = \left[\begin{array}{cc}2& - 1& 4 \\3 & 2 & 5\end{array}\right] } \\ \\ \sf{A + 2B = \left[\begin{array}{cc}5 & 0 & 3 \\1 & 6 & 2 \end{array}\right]}\end{gathered}
2A+2B=[
2
3
−1
2
4
5
]
A+2B=[
5
1
0
6
3
2
]
-----------------------
\large \bf \clubs \: To \: Find :-♣ ToFind:−
Value of 2B .
-----------------------
\large \bf \clubs \: Solution:-♣ Solution:−
We Have,
\begin{gathered} \pmb{2A + 2B = \left[\begin{array}{cc}2& - 1& 4 \\3 & 2 & 5\end{array}\right] } \: \: - - - - (1)\\ \\ \: \: \: \: \:\pmb{A + 2B = \left[\begin{array}{cc}5 & 0 & 3 \\1 & 6 & 2 \end{array}\right]} \: \: - - - - (2)\end{gathered}
2A+2B=[
2
3
−1
2
4
5
]
2A+2B=[
2
3
−1
2
4
5
] − − − −(1)
A+2B=[
5
1
0
6
3
2
]
A+2B=[
5
1
0
6
3
2
] − − − −(2)
Multiplying Eq. (2) by 2 We Get :
\begin{gathered} \pmb{2A + 4B = \left[\begin{array}{cc}10 & 0 & 6 \\2 & 12 & 4\end{array}\right]} \: \: - - - - (3)\end{gathered}
2A+4B=[
10
2
0
12
6
4
]
2A+4B=[
10
2
0
12
6
4
] − − − −(3)
Subtracting (1) From (3) We Get :
\begin{gathered} \sf \cancel{2A} + 4B - \cancel{2A} -2B \\ = \left[\begin{array}{cc}10 & 0 & 6 \\ 2 & 12 & 4\end{array}\right] - \left[\begin{array}{cc}2 & - 1 & 4 \\3 & 2 & 5\end{array}\right] \\ \\ :\longmapsto\sf2B = \left[\begin{array}{cc} 10- 2& 0+ 1& 6- 4 \\ 2- 3 & 12- 2 & 4 - 5\end{array}\right] \\ \\ \end{gathered}
2A
+4B−
2A
−2B
=[
10
2
0
12
6
4
]−[
2
3
−1
2
4
5
]
:⟼2B=[
10−2
2−3
0+1
12−2
6− 4
4−5
]
\begin{gathered}\purple{ \large :\longmapsto \pmb{ \underline {\boxed{{2B = \left[\begin{array}{cc} 8& 1& 2 \\ - 1 & 10 & - 1\end{array}\right]} }}}}\end{gathered}
:⟼
2B=[
8
−1
1
10
2
−1
]
2B=[
8
−1
1
10
2
−1
]
\underline{\underline{\Large\pink{\mathfrak{ \text{H}ence \:\:option\:\: B\:\: Correct} }}}
HenceoptionBCorrect
\begin{gathered} \Large\red{\mathfrak{ \text{W}hich \:\:is\:\: the\:\: required} }\\ \LARGE \red{\mathfrak{ \text{ A}nswer.}}\end{gathered}
Whichistherequired
Answer.
-----------------------
Answer:
999
Step-by-step explanation:
example: 444+555=999
HOPE IT HELPS