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vichka [17]
3 years ago
5

Sam Is 11 years older than Susan the sum of their ages in years is 27 what’s sams age in years

Mathematics
2 answers:
sweet [91]3 years ago
5 0

Answer:

19

Step-by-step explanation:

Let Sam be x

Let Susan be y


x = y+11

x + y = 27

Substitute (x) with (y+11)

(y+11) + y = 27

Solve the equation

2y + 11 = 27

2y = 16

y = 8


Susan's age is 8.

Sam's age is 8 + 11

Sam's age is 19


Hope this helped :)

stiks02 [169]3 years ago
4 0

Answer:

Sam is 19 years old.

Step-by-step explanation:

If their ages add up to 27 and Sam was 19 then Susan would be 8 years old. 8+19=27.

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General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

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Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

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<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

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<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

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<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

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The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

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4 years ago
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