Question

By what number should (-3)4 be multiplied, so that the product may be 54

Answer 1

Answer:

the number is -72

Step-by-step explanation:

Let the number be "a"

=>  -3/4 should be multiplied by "a" to get 54

                   $a \times (\frac{-3}{4})=54 \\\\ \frac{-3a}{4} =54 \\\\ -3a=54 \times 4 \\\\ -3a =216\\\\ a=-216/3 \\\\ a=-72$

the number is "-72"

Answer 2

Correct Question :

›»› By what number should -3/4 be multiplied, so that the product may be 54

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Answer :

›»› The number are -72.

Given :

• A number should -3/4 be multiplied, so that the product may be 54.

To Find :

• The number.

Solution :

Let,

The number be "x"

$\tt{:\implies x \times \dfrac{ - 3}{4} = 54}$

Calculate the multiplication expression,

$\tt{:\implies \dfrac{ - 3x}{4} = 54}$

Find the least common multiple of rational numbers contained in an equation,

$\tt{:\implies 4 \times \bigg( - \dfrac{3x}{4} \bigg) = 4 \times 54}$

Present multiplying Integers and the rational numbers,

$\tt{:\implies - (3x) = 4 \times 54}$

Multiply 4 and 54,

$\tt{:\implies - (3x) = 216}$

Get rid of unnecessary parenthese,

$\tt{:\implies - 3x = 216}$

Multiply both sides of the equation by minus 1,

$\tt{:\implies - 1 \times ( - 3x) = - 1 \times 216}$

Simplify the expression,

$\tt{:\implies 3x = - 1 \times 216}$

Multiplying any number by 1 does not change the value,

$\tt{:\implies 3x = - 216}$

Divide both sides by the same number,

$\frak{:\implies \red\dag\underline{ \boxed{ \pink{ \frak{x = -72}}}}} \red\dag$

║Hence, the number are -72.║

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