Multiplying a number by $4$ followed by subtracting $7$ yields the same result as subtracting $7$ from the same number and then multiplying it by $11$ . What is the number?

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Solution

The correct option is A 10
Let the number is $x$
Then according to the question,
$4 x - 7 = 11 (x - 7)$
$\Rightarrow 4 x - 7 = 11 (x - 7)$
$\Rightarrow 4 x - 7 = 11 x - 77$
$\Rightarrow 4 x - 11 x = - 77 + 7$
$\Rightarrow - 7 x = - 70$
$\Rightarrow x = \frac{- 70}{- 7} = 10$

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Multiplying a number by 4 followed by subtracting 7 yields the same result as subtracting 7 from the same number and then multiplying it by 11. What is the number?

The correct option is A 10Let the number is xThen according to the question,4x−7=11(x−7)⇒4x−7=11(x−7)⇒4x−7=11x−77⇒4x−11x=−77+7⇒−7x=−70⇒x=−70−7=10

Multiplying a number by $4$ followed by subtracting $7$ yields the same result as subtracting $7$ from the same number and then multiplying it by $11$ . What is the number?

The correct option is A 10
Let the number is $x$
Then according to the question,
$4 x - 7 = 11 (x - 7)$
$\Rightarrow 4 x - 7 = 11 (x - 7)$
$\Rightarrow 4 x - 7 = 11 x - 77$
$\Rightarrow 4 x - 11 x = - 77 + 7$
$\Rightarrow - 7 x = - 70$
$\Rightarrow x = \frac{- 70}{- 7} = 10$