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Algebra Level 1

solve the following equations and answer the questions:
If A + A + A = 30 and
A + B+ B = 18 and
B - C = 2
What is the value of A + B + C?


The answer is 16.

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6 solutions

3 A = 30 3A=30 \implies A = 30 3 A=\dfrac{30}{3} \implies A = 10 A=10

A + 2 B = 18 A+2B=18

Substituting 10 10 to A A in the above equation, we get

10 + 2 B = 18 10+2B=18 \implies 2 B = 18 10 2B=18-10 \implies 2 B = 8 2B=8 \implies B = 4 B=4

B C = 2 B-C=2

Substituting 4 4 to B B in the above equation, we get

4 C = 2 4-C=2 \implies C = 2 C=2

Finally,

A + B + C = 10 + 4 + 2 = A+B+C=10+4+2= 16 \boxed{\color{#D61F06}16}

That is a really clear explanation. Great job!!!!

Annie Li - 4 years, 1 month ago
Munem Shahriar
Jun 7, 2017

Given that,

A + A + A = 30

A + B+ B = 18

B - C = 2

Now,

A + A + A = 30

3A = 30

∴ A = 10 ;[Dividing 30 with 3]

Now place the value of A to get B

A + B+ B = 18

10 + 2B = 18

2B = 18 - 10

∴ B = 4 ;[ Dividing 8 with 2]

Now place the value of B to get C

B - C = 2

4 - C = 2

∴ C = 2 ; [subtracting 2 with 4]

Therefore, A + B + C 10 + 4 + 2 = 16

Good 😊 one! Hope you post more solutions that clearly state the answer and method like this one! ☝️

Annie Li - 4 years ago
Nazmus Sakib
May 1, 2017

A+A+A=3A

so,3A=30

or,A= 30 3 \frac{30}{3}

                or,A=10

AGAIN

or,10+B+B=18

or,10+2B=18

or,2B=18-10

or,2B=8

                 or,B=4

NOW,

or,B - C = 2

or,4-C=2

or,-C=2-4

or,-C=-2

               or,C=2

so,A+B+C

=10+4+2

=16(ANSWER)

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Annie Li - 4 years ago
Mohammad Khaza
Jul 1, 2017

3A=30, or, A=10.................................(1)

again, 10+2B=18, or,B=4....................(2)

and,4-C=2, or,C=2...............................(3)

so,A+B+C=10+4+2

                  =16
Surya Subbarao
Jul 1, 2017

Because B - C = 2, we know that C - B = -2. We can add this to the second equation, A + B + B = 18, to get A + B + C = 16.

Thumbs up for you

Annie Li - 3 years, 11 months ago
Kenny O.
Apr 22, 2017

(A+B+B)-(B-C)=18-2
A+B+B-B+C=A+B+C
=16

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