Question

find x in -12:6::x:8 ​

Answer 1

Answer:

16

Step-by-step explanation:

product of means: 12*8

product of extremes: 6x

12*8=6x

12*8/6=x

16=x

Answer 2

$\large\sf\underline{Given:}$

• $\sf\:12:6::x:8$

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$\large\sf\underline{To\:find:}$

• Value of x = ??

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$\large\sf\underline{Solution:}$

$\sf\:12:6::x:8$

$\sf➞\:\frac{12}{6}=\frac{x}{8}$

• Cross multiplying

$\sf➞\:6x=8×12$

$\sf➞\:6x=96$

• Transporting 6 to other side

$\sf➞\:x=\frac{96}{6}$

$\sf➞\:x=\cancel{\dfrac{96}{6}}$

$\small{\underline{\boxed{\mathrm\pink{➞\:x=16}}}}$

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$\large\rm\purple\star\:\underline{Verifying\:my\: answer:}$

$\sf\:12:6::x:8$

$\sf➞\:\frac{12}{6}=\frac{x}{8}$

• Substituting the value of x as 16

$\sf➞\:\frac{12}{6}=\frac{16}{8}$

$\sf➞\:12×8=16×6$

$\sf➞\:96=96$

$\large\fbox\purple{[\: Hence\: Verified\:]}$

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!! Hope it helps !!