Question

Find x such that rational numbers in each of the following pairs are equivalent.
(i) x/12, 5/6 (ii) 15/x, -3/8​

Answer 1

$\huge \underline \mathsf \red {SOLUTION:-}$

(i) x/2, 5/6 will be equivalent if

➠ 6 × x = 5 × 12

➠ x = 5 × 12/6

➠ 5 × 2 = 10

• Hence, x = 10

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(ii) 15/x, -3/8 will be equivalent if

➠ 15 × 8 = (-3) × x

➠ x = 15 × 8/-3

➠ -5 × 8 = -40

• Hence, x = -40.

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Answer 2

$\huge\red{\tt{\underline{Solution:-}}}$

$(i) \: \frac{x}{12} , \frac{5}{6} \: will \: be \: equivalent\: if$

$\implies = 6 \times x = 12 \times 5$

$\implies = x = 5 \times \frac{12}{6}$

$\implies \: 5 \times 2 = 10$

$\blue{\bold{\underline{\underline{Hence,x=10}}}}$

$(ii) \: \frac{15}{x} , \frac{ - 3}{8}$

$\implies 15 \times 8 = - 3 \times x$

$\implies \frac{15 \times 8}{ - 3}$

$\implies - 5 \times 8 = - 40$

$\blue{\bold{\underline{\underline{Be brainly}}}}$