An algebra problem by apoorva garg

Algebra Level 1

0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 = ? \dfrac{0.76 \times 0.76 \times 0.76 + 0.24\times0.24\times0.24}{0.76 \times 0.76 \times 0.76 + 0.24\times0.24\times0.24} = \, ?


The answer is 1.

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4 solutions

Hung Woei Neoh
Jul 9, 2016

0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 \dfrac{0.76 \times 0.76 \times 0.76 + 0.24 \times 0.24 \times 0.24}{0.76 \times 0.76 \times 0.76 + 0.24 \times 0.24 \times 0.24}

Notice that the numerator and the denominator are exactly the same.

When a number is divided by itself, we will get a result of 1 \boxed{1}

Lol...very easy... ;)

A Former Brilliant Member - 4 years, 11 months ago

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This question is one of the easiest ones I have ever encountered on Brilliant

Hung Woei Neoh - 4 years, 11 months ago

Lolol very very simple.

Ashish Menon - 4 years, 11 months ago

yaa that's fine but there is the sign of + so we can't divide it directly

apoorva garg - 4 years, 11 months ago

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No, we can, only if it's exactly the same

Hung Woei Neoh - 4 years, 11 months ago

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yaa tha't what i am saying

apoorva garg - 4 years, 11 months ago

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@Apoorva Garg And for this particular question, the numerator and denominator is exactly the same, so we can do that

Hung Woei Neoh - 4 years, 11 months ago

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@Hung Woei Neoh I am getting stupifyed this way...

Peter van der Linden - 4 years, 10 months ago
Ashish Menon
Jul 10, 2016

Cut the numerator and denominator,
0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 0.76 × 0.76 × 0.76 + 0.24 × 0.24 × 0.24 = 1 {\dfrac{\cancel{0.76×0.76×0.76 + 0.24×0.24×0.24}}{\cancel{0.76×0.76×0.76 + 0.24×0.24×0.24}}} = \color{#3D99F6}{\boxed{1}} .

Apoorva Garg
Jul 9, 2016

0.76 * 0.76 * 0.76 + 0.24* 0.24* 0.24 / 0.76 * 0.76 * 0.76 + 0.24 * 0.24 * 0.24

=(0.76)to the power 3+(0.24)to the power 3/(0.76)to the power 3 +(0.24)to the power 3 =0.76+0.24/0.76+0.24 = 1

You can't cancel cube root like that directly to get one.

Drbalu Subrahmanya - 4 years, 9 months ago

The numerator is exactly the same as the numerator. So the answer is 1.

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