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n200080 [17]
2 years ago
10

Two numbers are in a ratio 11:7. If the smaller number is 700, what is the larger number? Pls tell with steps

Mathematics
2 answers:
Nutka1998 [239]2 years ago
6 0

Answer:

The larger number is 1100

Step-by-step explanation:

Let larger number be x

We have

\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100

andre [41]2 years ago
4 0

Answer:

The larger number is <u>1100</u><u>.</u>

Step-by-step explanation:

<u>Solution</u> :

Let the,

  • >> Larger number be <em>11x</em><em>.</em>
  • >> Smaller number be <em>7x</em><em>.</em>

Now, According to the question :

\begin{gathered} \dashrightarrow\sf{Smaller \:  number} =  \tt{700} \end{gathered}

\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}

\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}

\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}

\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}

\begin{gathered} \dashrightarrow  \sf{x}= \tt{100} \end{gathered}

Hence, the value of x is 100.

Now, calculating the larger number :

\begin{gathered} \dashrightarrow\sf{Larger \:  number} =  \tt{11x} \end{gathered}

\begin{gathered} \dashrightarrow\sf{Larger \:  number} =  \tt{11 \times 100} \end{gathered}

\begin{gathered} \dashrightarrow\sf{Larger \:  number} =  \tt{1100} \end{gathered}

Hence, the larger number is 1100

\rule{300}{1.5}

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