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4 years ago

max is 24 years older than his son liam in two years liam will be half as old as max how old is liam now

Mathematics

2 answers:

sertanlavr [38]4 years ago

5 0

Max is 26 now because 24 + 2 = 26 so 26 / 2 = 13

Liam is 13.

I hope this helps :)

Reptile [31]4 years ago

4 0

Liam is 22 years old now. Max is 46, and in two years Liam will be 24 and Max will be 48. Hope this helped!

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The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 24m. The length of the alley

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ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

The perimeter of a rectangular playing alley = 24 m

The length of the alley is three times the width

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

$\text{Perimeter of a rectangle = 2(l + w)}$

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

$\begin{gathered} l\text{ = 3 }\times\text{ w} \\ l\text{ = 3w} \end{gathered}$

Step 2: Substitute the value of l = 3w into the above formula

$\begin{gathered} P\text{ = 2(l + w)} \\ p\text{ = 24m} \\ l\text{ = 3w} \\ 24\text{ = 2(3w + w)} \end{gathered}$

Step 3: Solve for w

$\begin{gathered} 24\text{ = 2(4w)} \\ 24\text{ = 8w} \\ \text{Divide both sides by 8} \\ \frac{24}{8}\text{ = }\frac{8w}{8} \\ w\text{ = 3 m} \end{gathered}$

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

$\begin{gathered} \text{Recall, l = 3w} \\ w\text{ = 3} \\ l\text{ = 3 }\times3 \\ l\text{ = 9m} \end{gathered}$

Hence, the length of the playing alley is 9m

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