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

$\huge \underline \mathbb {SOLUTION:-}$

(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

$\huge\underline\bold\red{Question}$

To find x such that rational numbers in

each of the following pairs are equivalent

$\huge\underline\bold\green{Given}$

$\implies\sf \frac{x}{12} and \frac{5}{6}$

$\implies\sf \frac{15}{x} and \frac{-3}{8}$

$\huge\underline\bold\pink{Answer}$

1) x = 10

2) x = -40

$\huge\underline\bold\blue{Explanation}$

first, we have to do cross multiplication:—

⠀⠀⠀⠀⠀⠀⠀⠀⠀(1)

$\implies\sf \frac{x}{12} and \frac{5}{6}$

$\implies\sf$ x × 6= 5 × 12

$\implies\sf$x = 6 × $\frac{12}{5}$

$\implies\sf$ 5× 2 = 10

$\implies\sf$ x = 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀(2)

$\implies\sf$ 15×8 = (-3)× x

$\implies\sf$ x= $\frac{8}{-3}$

$\implies\sf$ -5 × 8= -40

$\implies\sf$ x = -40

$\huge\underline\bold\purple{ThankYou}$