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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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2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.
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Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y   <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180    <=combine like terms

4y = 180   <=isolate y by dividing both sides by 4

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Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180   <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

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