Question

The difference between two positive integers is 36. The quotient when one integer is divided by other is 4. Find the integers.​

Answer 1

Step-by-step explanation:

Let number be n , n>0

Difference between possitive integers =36

Another number be n−36

Quotient when one is divided by another =4

n/n−36

=4

n=4n−144

3n=144

n=48

∴48,12 are the two positive integers.

Answer 2

$\huge\fcolorbox{red}{aqua}{ ANSWER}$

Let one positive integer be x.

⇒Other integer=x-36.

Quotient when x is divided by (x-36)=4

According to the question:

$\frac{x}{x-36}=4$

x−36

x

=4

⇒x=4(x-36)x=4(x−36)

⇒x=4x-144x=4x−144

⇒4x-x=1444x−x=144

⇒3x=1443x=144

$x= \frac{144}{3} =48x$

$=48x$

1st no=48 and 2nd no:48-36=12

$Ans:The required integers are 48 and 12.$

--------------------------------------------------------------