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aivan3 [116]
3 years ago
8

Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?

Mathematics
2 answers:
zlopas [31]3 years ago
3 0
The oldest friend is 17 years old. 15+16+17. 5+6=11+7=18. 18+10+10+10= 48. get my level B) jk
Ksenya-84 [330]3 years ago
3 0
"The sum of their ages is 48" means x + (x + 1) + (x + 2) = 48 

<span>x + x + 1 + x + 2 = 48 </span>

<span>x + x + x + 1 + 2 = 48 </span>

<span>3x + 3 = 48 </span>

<span>3x = 48 - 3 </span>

<span>3x = 45 </span>

<span>x = 45/3 = 15 </span>

<span>So if the youngest is 15 (x = 15), then the oldest is x + 2 or 15 + 2 = 17</span>
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The MN matrix is \left[\begin{array}{ccc}-2 & 1 & 0 \\17 & 2 & -3\\11 & 12 & -5\end{array}\right]\\.

What is matrix?

A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one. is a matrix having two rows and three columns, for instance.

Given M=\left[\begin{array}{cc} 1 & 0 \\ -4 & 3 \\ 2 & 5 \end{array}\right]

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MN=\left[\begin{array}{cc}1 & 0 \\-4 & 3 \\2 & 5\end{array}\right] \times \left[\begin{array}{ccc}-2 & 1 & 0 \\3 & 2 & -1\end{array}\right]\\= \left[\begin{array}{ccc}1 \times (-2)+0 \times 3 & 1 \times 1+0 \times 2 & 1 \times 0+0 \times (-1) \\(-2) \times (-4)+3 \times 3 & (-4) \times 1+3 \times 2 & (-4) \times 0+3 \times (-1) \\2 \times (-2)+5 \times 3 & 2 \times 1+5 \times 2 & 2 \times 0+5 \times (-1) \\\end{array}\right]\\

=\left[\begin{array}{ccc}-2 & 1 & 0 \\17 & 2 & -3\\11 & 12 & -5\end{array}\right]\\

Therefore the MN matrix is \left[\begin{array}{ccc}-2 & 1 & 0 \\17 & 2 & -3\\11 & 12 & -5\end{array}\right]\\.

To learn more about matrix from the given link

brainly.com/question/94574

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