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

User VelLes
by
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2 Answers

6 votes

Answer:

1/22

Explanation:

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

User Krozero
by
9.2k points
4 votes


\huge\bold{Given :}

Sum of two numbers =
(5)/(22)

One of the number =
(2)/(11)


\huge\bold{To\:find :}

The other number.


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


\sf\blue{The \:other \:number \:is }
(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 = (5)/(22) \\ \\ ⇢  (2)/(11) + x = (5)/(22) \\ \\⇢ x = (5)/(22) - (2)/(11) \\ \\ ⇢ x = (5)/(22) - (2 * 2)/(11 * 2) \\ \\⇢ x = (5 - 4)/(22) \\ \\ ⇢ x = (1)/(22)


\sf\purple{Therefore,\:the\:other\:number\:is}
(1)/(22).


\huge\bold{To\:verify :}


(2)/(11) + (1)/(22) = (5)/(22) \\ \\➪ \: (2 * 2)/(11 * 2) + (1)/(22) = (5)/(22) \\ \\ ➪ \: (4 + 1)/(22) = (5)/(22) \\ ➪ \: (5)/(22) = (5)/(22) \\ \\ ➪ \: L. H. S. = R. H. S

Hence verified. ✔


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

User Anssi
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