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Algebra Level 1

Suppose we define the function @ @ such that a @ b = 3 a − 2 b + a b a @ b = 3a - 2b + a b .

What is the value of 10 @ 4 − 4 @ 10 ? 10@4 - 4@10?


The answer is 30.

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Math Man by math man , 20, Indonesia

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2 solutions

Ashwin Kannan
Oct 16, 2014

If a = 10 and b = 4, then a@b - b@a = 3a - 2b + ab - (3b -2a + ab) = 5a -5b. Then substituting, 5(10) - 5(4) = 30.

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Asama Zaldy Jr.
Oct 6, 2014

10@4 - 4@10 = 3(10)-2(4)+10(4) - [3(4)-2(10) +4(10)] =30-8+40 - (12-20+40) =30

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