Question

Find the value of x if; 11 : 33 : : 9 : x

Answer 1

11/33 = 9/x
11x = 33(9)
x= 33(9)/11
x= 3(9)
x= 27

Answer 2

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

• $\sf\:11:33::9:x$

‎

‎

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

• Value of x

‎

‎

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

$\sf\:11:33::9:x$

• Converting into fraction form

$\sf\implies\:\frac{11}{33}=\frac{9}{x}$

• Cross multiplying

$\sf\implies\:11 \times x = 33 \times 9$

$\sf\implies\:11x = 297$

• Transposing 11 to the other side

$\sf\implies\:x = \cancel{\frac{297}{11}}$

$\large{\mathfrak\red{\implies\:x\:=\:27}}$

‎____________________

‎

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

$\sf\:11:33::9:x$

• Converting into fraction form

$\sf\implies\:\frac{11}{33}=\frac{9}{x}$

• Substituting the value of x as 27 .

$\sf\implies\:\frac{11}{33}=\frac{9}{27}$

• Cross multiplying

$\sf\implies\:11 \times 27 = 33 \times 9$

$\sf\implies\:297 =297$

$\small\fbox\green{Hence\:Verified}$

‎

‎

$\dag\:\underline{\sf So\:the\:required\:value\:of\:x\:is\:27.}$

‎

‎

!! Hope it helps !!