Guess the number

Algebra Level 1

Marvin chose a number, multiplied it by 6, then added 14 to the result and got 104. What was the number?


The answer is 15.

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A Former Brilliant Member by A Former Brilliant Member

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3 solutions

Let y be the number, then

y ∗ 6 + 14 = 104 y*6 + 14 = 104

6 y = 104 − 14 6y = 104 - 14

y = 15 y = 15

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André Hucek
Oct 27, 2017

x × 6 + 14 = 104 \displaystyle x \times 6 + 14 = 104

104 − 14 6 = x = 15 \displaystyle \frac{104 - 14}{6} = x = \boxed{15}

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Let n n be the number, then

6 n + 14 = 104 6n+14=104

subtracting 14 14 from both sides, we get

6 n = 90 6n=90

dividing both sides by 6 6 , we get

n = 15 \color{#D61F06}\boxed{n=15}

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