Question

find the number that must be added to the term of the ratio 11:29 to make it equal to 11:20

Answer 1

$\textbf{Let the required number be x respectively}$

$\textbf{Then x is added to the term of the ratio 11:29}$

$\textbf{So the terms become}$

$\textbf{(11 + x):(29 + x)}$

$\textbf{And the given terms become equal to 11:20}$

$\textbf{So Forming an equation as per the}$

$\textbf{Question we have}$

$\bf\frac{11 + x}{29 + x} = \frac{11}{20}$

$\textbf{By Cross multiplication we have}$

$\bf20(11 + x) = 11(29 + x)$

$\bf{220 + 20x = 319 + 11x}$

$\bf{20x - 11x = 319 - 220}$

$\mathbf{9x = 99}$

$\bf{x = \frac{99}{9} }$

$\bf{x = 11}$

$\textbf{If you want a verification of my answer}$

$\textbf{then it's given below}$

$\textbf{LHS = (11 + x):(29 + x)}$

$\textbf{= (11+11):(29+11)}$

$\textbf{=22:40}$

$\textbf{=11:20}$

$\textbf{RHS = 11 : 20}$

$\longrightarrow\textbf{So Verified LHS = RHS}$

$\textbf{Thanks}$

$\textbf{Have a colossal day ahead}$

$\textbf{Be Brainly}$