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?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
That is a really clear explanation. Great job!!!!
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! ☝️
A+A+A=3A
so,3A=30
or,A= 3 3 0
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)
👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍
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
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
(A+B+B)-(B-C)=18-2
A+B+B-B+C=A+B+C
=16
Problem Loading...
Note Loading...
Set Loading...
3 A = 3 0 ⟹ A = 3 3 0 ⟹ A = 1 0
A + 2 B = 1 8
Substituting 1 0 to A in the above equation, we get
1 0 + 2 B = 1 8 ⟹ 2 B = 1 8 − 1 0 ⟹ 2 B = 8 ⟹ B = 4
B − C = 2
Substituting 4 to B in the above equation, we get
4 − C = 2 ⟹ C = 2
Finally,
A + B + C = 1 0 + 4 + 2 = 1 6