Question

Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is

Answer 1

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

Answer 2

$\huge\bold{Given :}$

✎ Sum of two numbers = $\frac{5}{22}$

✎ One of the number = $\frac{2}{11}$

$\huge\bold{To\:find :}$

✿ The other number.

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\sf\blue{The \:other \:number \:is }$ $\frac{1}{22}$. ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

❥ Let the other number be $x$.

❥ As per the question, we have

$sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢ \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22}$

$\sf\purple{Therefore,\:the\:other\:number\:is}$ $\frac{1}{22}$.

$\huge\bold{To\:verify :}$

$\frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S$

Hence verified. ✔

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘$