Question

One number is 20 more than the other If one is divided by other gives quotient as 5 Find the numbers

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given two numbers
• One number is 20 more than other
• When one number is divided by the other gives 5 as quotient

To Find:

• We have to find the two numbers

Solution:

Let first number = x

Second number = ( x + 20 )

According to the Question

$\implies \dfrac{x + 20}{x} = 5$

Cross Multiplying the Terms

$\implies x + 20 = 5x$

$\implies 5x - x = 20$

$\implies 4x = 20$

$\implies x = \dfrac{20}{4}$

$\implies x = 5$

__________________________

First number ( x ) = 5

Second number ( x + 20 ) = 20 + 5 = 25

The two numbers are 5 and 25

______________________________

Verification:

$\fbox{Quotient = \dfrac{25}{5} = 5}$

Hence verified !!

Answer 2

${\purple{\underline{\underline{\mathtt{\large{Answer:}}}}}}$

Given:

• We have been given that one number is 20 more than the other.
• when one number is divided by other the quotient is 5.

To Find:

• We need to find the numbers.

Solution:

Let one number be x.

Other number = x + 20

According to the question,

$\longrightarrow\sf{ \dfrac{x + 2}{x} = 5}$

$\longrightarrow\sf{ x + 20 = 5x}$

$\longrightarrow\sf{ 20 = 5x - x}$

$\longrightarrow\sf{ 20 = 4x}$

$\longrightarrow\sf{ \dfrac{20}{4} = x}$

$\longrightarrow\sf{ 5 = x}$

Numbers:

$\mapsto\sf{ x = 5}$

$\mapsto\sf{ x + 20 = 5 + 20 = 25}$

Verification:

$\mapsto\sf{ \dfrac{25}{5} = 5}$

Hence verified!!

Therefore, the required numbers are 5 and 25.