Question

The product Of 2 rational numbers is -84.If One Of the number is -12, find the other number

Answer 1

Answer:

Given :-

• The product of two rational number is - 84.
• One of the number is - 12.

To Find :-

• What is the other number.

Solution :-

Let,

➲ Other Number = x

As we know that :

$\footnotesize\bigstar\: \: \sf\boxed{\bold{\pink{Product\: of\: two\: numbers =\: One\: of\: the\: number \times Other\: number}}}\: \: \bigstar$

Given :

• Product of two numbers = - 84
• One of the number = - 12

According to the question by using the formula we get,

$\implies \sf - 12 \times x =\: - 84$

$\implies \sf {\cancel{-}} 12x =\: {\cancel{-}} 84$

$\implies \sf 12x =\: 84$

$\implies \sf x =\: \dfrac{\cancel{84}}{\cancel{12}}$

$\implies \sf x =\: \dfrac{7}{1}$

$\implies \sf\bold{\red{x =\: 7}}$

${\small{\bold{\underline{\therefore\: The\: other\: number\: is\: 7\: .}}}}$

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★ VERIFICATION ★

$\leadsto \sf - 12 \times x =\: - 84$

By putting x = 7 we get,

$\leadsto \sf - 12 \times 7 =\: - 84$

$\leadsto \sf\bold{\purple{- 84 =\: - 84}}$

Hence, Verified.

Answer 2

${ \boxed{\boxed{\begin{array}{cc} \bf \: given \\ \\\small{ \rm \to \:The \: product \: of \: two \: rational \: numbers \: = - 84 }\\ \\ \rm \to \: One \: rational \: number \: = - 12 \\ \\ { \boxed{ \begin{array}{cc} \odot \bf \: we \: have \: t o \: find \: : \\ \\ \rm \to \: other \: rational \: number \: \end{array}}} \\ \\ \\ \pink{ \to \bf \: Let \: us \: consider \: the \: other} \\ \pink{\bf numbe r \: as \: = x} \\ \\ \\ \sf \: according \: to \: the \: question \: \\ \\ \rm \: x \times ( - 12) = - 84 \\ \\ \rm \implies \: x = \frac{ - 84}{ - 12} \\ \\ \rm \implies \: x = 7 \\ \\ \orange { \boxed{\therefore \rm \: other \: rational \: number \: = 7}} \\ \\ \end{array}}}}$