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viva [34]
3 years ago
10

All of the girls are Danielle's cabin at camp are the same age. Their counselor is 3 times their age. Danielle's age and her cou

nselor's ages at up to 28. Write an equation that can be used to find the ages of Danielle and her counselor.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

see the explanation

Step-by-step explanation:

Let

D -----> Danielle's age

C -----> Counselor's age

we know that

C=3D ----> equation A

D+C=28 ----> equation B

substitute

equation A in equation B

D+3D=28 ----> equation that can be used to find Danielle's age

Solve for D

4D=28

D=7

<em>Find the value of C</em>

C=3D  ---->  equation that can be used to find Counselor's age

substitute the value of D

C=3(7)=21

therefore

Danielle's age is 7 and Counselor's age is 21

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Answer:

Step-by-step explanation:

3x2 - y2 = 9.........(1)

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Let x^2 = a and y^2 = b

:- the two equations becomes

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a + 2b = 38.......(4)

Multiplying (4) by 3

3a + 6b = 114........(5)

Substracting (3) from (5)

3a - 3a + 6b - (-b) = 114 - 9

6b +b = 105

7b = 105

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b = 15

And 3a - b = 9 putting b = 15

3a - 15 = 9

3a = 15+9

3a = 24

a = 24/3

a = 8

And

x^2 = a

x^2 = 8

x = √8

x = √(4×2)

x = 2√2

Also y^2 = b

y^2 = 15

y = √15

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