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

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Two numbers are in a ratio 11:7. If the smaller

tubakhan4833

29.12.2021

The larger number is 1100

Step-by-step explanation:

Let larger number be

We have

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

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ladybuggirl400

29.12.2021

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

>> Larger number be 11x. >> Smaller number be 7x.

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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