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What’s the last equation

What’s the last equation-example-1
User Joeforker
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9514 1404 393

Answer:

20 . . . . value of last equation

(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12) . . . . values of symbols

Explanation:

If we call the symbols, in order of appearance, A, B, C, then the equations are ...

2AB = 40 ⇒ AB = 20

2C/B = 4 ⇒ C/B = 2

Multiplying the second equation by the first, we get ...

(C/B)(AB) = AC = (2)(20) = 40 ⇒ AC = 40

Then the last equation is ...

(C-B)A = __

AC -AB = __ = 40 -20 = 20

The value of the last equation is 20.

_____

Per the above, we have AC = 40. The third equation is ...

(C +3A) = 22

Using the first relation, we have A = 40/C, so the second becomes ...

C +3(40/C) = 22

C² -22C +120 = 0

(C -10)(C -12) = 0

C = 10 or 12

As you can see, there are two possible solutions for the values of the symbols. The corresponding values of the other variables are ...

A = 40/C = 4 or 3 1/3

B = 20/A = C/2 = 5 or 6

The values of the variables are ...

(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12)

User R R
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