Question

the difference of two positive number is 72 and their quotient obtained on dividing one by the other id 4. find the number

Answer 1

Hello!

Here is your answer

Given

$x - y = 72$
$x \div y = 4$
from above equation we can consider that

$x = 4y \: \: \: transfering \: y$
then

$4y - y = 72 \\ \\ 3y = 72$
y = 72/3 = 24

we can find x by substituting y

Answer 2

let the no. be x and y
so, x-y= 72
x/y= 4
x=4y
substituting value of x in 1
4y-y=72
3y=72
y=72/3
y=24
substituting value of y in 1
x-24=72
x=72+24
x=96