Question

Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?​

Answer 1

Answer:

    x = 9 , -9

Step-by-step explanation:

Two numbers are in the ratio 5:3

let the numbers be 5x and 3x

they differ by 18

i.e. 5x - 3x = 18                   or         3x - 5x = 18          

2x = 18                                              -2x = 18

x = 18 / 2                                            x = 18 /-2

x = 9                                                     x = -9  

Answer 2

Answer:

Given:-

Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?

To Find:-

The numbers.

Note:-

●》Here as per question ; we will find the two numbers by "First number" - "Second number" = "Their differ" and also by transposing.

●》Transposing - In this process, we find unknown value by changing the side of known value and also in this process signs are changed. For example - "Multiple" becomes "Divisional".

Solution:-

$\huge\red{Two \ \ numbers = 5 : 3, Their \ \ differ = 18}$

$\huge\red{Actual \ \ value_{of \ \ numbers} = ?, Let \ \ them = x}$

$\huge\red{So, First \ \ number = 5x, Second \ \ number = 3x}$

☆ According to note first point~

▪︎$First \ \ number - Second \ \ number = Their \ \ differ$

▪︎$5x - 3x = 18$

▪︎$2x = 18$

☆ According to note second point ( Transposing )~

▪︎$x = \dfrac{18}{2}$

☆ After dividing~

▪︎$x = 9$

___________________________

First number,

▪︎$First \ \ number = 5x$

☆ Putting "x" value~

▪︎$First \ \ number = 5 × 9$

▪︎$First \ \ number = 45$

___________________________

Second number,

▪︎$Second \ \ number = 3x$

☆ Putting "x" value~

▪︎$Second \ \ number = 3 × 9$

▪︎$Second \ \ number = 27$

$\huge\pink{Two \ \ numbers \ \ are = 45, 27}$

Checking:-

♤ Let's check for two numbers by First number - Second number = Their differ or not.

• $First \ \ number - Second \ \ number = Their \ \ differ \implies ?$

• $45 - 27 = 18 \implies ?$

• $18 = 18 \implies ✔$

$\huge\green{Hence, Proved : Two \ \ numbers \ \ are = 45, 27}$

Answer:-

Hence, the two numbers are = 45, 27.

:)