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3 years ago

Alvin's age is two times Elga's age. The sum of their ages is 69. What is Elga's age?

Mathematics

2 answers:

kicyunya [14]3 years ago

6 0

Answer:

Step-by-step explanation:

69 divided be 3

= 23

step 2

23 + 23 = 46 ( Alvin age)

step 3

69 -46= 23 Elga age

frozen [14]3 years ago

6 0

Answer:

Elga's age is 23

Step-by-step explanation:

To solve this, we need to make our equation.

2x+x=69

In this equation, 2x is Alvin's age, while Elga's age is x. The 69 is the sum of their ages.

Combine the like terms in this equation.

3x=69

Divide both sides by 3

3/3x=69/3

x=23

Elga's age is 23, but we still need to check to make sure we are correct.

To do this, plug in 23 for x.

2(23)+23=69

46+23=69

69=69

Do we get a true statement? Yes, so we are correct.

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EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
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\\\\\\
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and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
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\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

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Mnenie [13.5K]

Answer:

Step-by-step explanation:

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