Question

The sum of two numbers that are at the ratio of 5:7 is 372. Find these numbers.

Answer 1

Given:

Sum of two numbers = 372

Ratio of the numbers =  5:7

To find:

The numbers = ?

Solution:

First of all, we are given that the numbers are in the ratio 5:7.

Let the numbers be $5x$ and $7x$.

First number = $5x$ and

Second number = $7x$

Now, sum of the two numbers is 372.

The equation becomes:

$5x+7x=372\\\Rightarrow 12x=372\\\Rightarrow x=\dfrac{372}{12}\\\Rightarrow x = 31$

$\therefore$ the two numbers are:

First number = $5\times x = 5 \times 31 =155$

Second number = $7\times x = 7 \times 31 =217$

Hence, the two numbers are 155 and 217.

Answer 2

Answer:

Given:

Sum of two numbers = 372

Ratio of the numbers = 5:7

To find:

The numbers = ?

Solution:

First of all, we are given that the numbers are in the ratio 5:7.

Let the numbers be 5x5x and 7x7x .

First number = 5x5x and

Second number = 7x7x

Now, sum of the two numbers is 372.

The equation becomes:

\begin{gathered}5x+7x=372\\\Rightarrow 12x=372\\\Rightarrow x=\dfrac{372}{12}\\\Rightarrow x = 31\end{gathered}

5x+7x=372

⇒12x=372

⇒x=

12

372

⇒x=31

\therefore∴ the two numbers are:

First number = 5\times x = 5 \times 31 =1555×x=5×31=155

Second number = 7\times x = 7 \times 31 =2177×x=7×31=217

Hence, the two numbers are 155 and 217.