271,691 views
31 votes
31 votes
The sum of three numbers is 20

the first is 4 times the sum of the other two
the second is seven times the third
what is the product of all three

User Seler
by
2.3k points

1 Answer

14 votes
14 votes

Answer:

A*B*C= 28

Explanation:

A+B+C=20

1. A = 4(B+C)

2. B = 7C

3. C = C

----------------------

1.

A = 4( 7C + C )

A=4(8C)

A= 32C

---------------------

A+B+C=20

32C + 7C + C = 20

40C = 20

C = 20/40

C = 1/2

------------------------

A= 32(1/2) = 32/2 = 16

B= 7(1/2) = 7/2

C= 1/2

A*B*C = 16 * 7/2 * 1/2

A*B*C= 28

User Richard Walton
by
2.9k points