Real Numbers

Algebra Level 1

For all real numbers b b and c c such that the product of c c and 3 is b b , which of the following expressions represetns the sum of c c and 3 in terms of b b ?

A. b + 3 b+3
B. 3 b + 3 3b+3
C. 3 ( b + 3 ) 3(b+3)
D. b + 3 3 \frac{b+3}3
E. b 3 + 3 \frac b3 + 3

D C E B A

Anshuman Das by Anshuman Das , 19, India

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2 solutions

Harshendu Mahto
Jan 17, 2016

Product of 'c' and 3 = 3 x c = 3c According to question, Product of 'c' and 3 = b

Therefore, 3c = b

So, c = b/3

Now, c + 3 can be written as (b/3) + 3 which is the answer.........

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According to question.
⇒ 3 × c = b \Rightarrow 3×c=b
c = b 3 c=\dfrac{b}{3}

⇒ c + 3 = b 3 + 3 \Rightarrow c+3=\boxed{\dfrac{b}{3}+3}

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