Question

two numbers are in the ratio 5:3,if they differ by 18, what are the numbers? Step by Step Explanation!!​

Answer 1

Answer:

Two numbers which are in the ratio 5:3 differing by 18 are 45 and 27.

Step-by-step explanation:

Let's express the information in mathematical terms.

Explanation:

Let the numbers be 5x and 3x respectively, as their ratio is 5:3.

They differ by 18.

⇒ 5x - 3x = 18

⇒ 2x = 18

⇒ x = 18/2

⇒ x = 9

⇒ 5x = 5(9) = 45

⇒ 3x = 3(9) = 27

Thus, the numbers are 45 and 27, which are in the ratio 5:3. If they differ by 18.

Answer 2

Solution :-

Linear equation in one variable:

The equations which are written in the form ax + b = c.

Here, a, b, and c are real numbers buta = 0.

• Put variable on one side by itself.
• Use the inverse operation to undo.
• Keep the equations balanced during the calculation.

Step 1

Understand that the ratio of two numbers is 5 : 3 .

$\rm{{Take \: the \: first \: number \: as}} \: \bf{5x}$

$\rm{And \: the \: second \: number \: as }\: \: \bf{ 3x.}$

Step 2

Understand that the difference between two numbers is 18

$\sf{ \large{ Thus,}}$

$</p><p></p><p> \rm{5x \: - 3x = 18 }\\ \rm {⇒2x = 18}$

Move 2 from LHS to RHS and divide 18 by 2

$\bf{ \huge{x = \frac{18}{2} }}$

$\bf{⇒ \: x \: = \: 9}$

Step 3

Put the value of x in the first and second number :

$\large{ \rm{First \: number}} \: \bf{:}$

$\bf{ \large {= 5x}}$

$\large{{ \bf{= 5 \times 9}}}$

$\large{ \bf{ = 45}}$

$\large{ \rm{Second \: number}}$

$\large{ \bf{ = 3x }}$

$\large{ \bf{ = 3 \times 9}}$

$\bf{ \large{ = 27}}$

Hecne the first nunber is 45 and the second nunber is 27 .