Question

The difference of 2 numbers is 50. If the smaller number is divided by the larger, the fraction obtained is 3/8 . Find the numbers.  

Answer 1

let 1st number be x and 2nd number be y:
according to 1st condtion
x-y=50
according to second condition:
$\frac{y}{x} = \frac{3}{8}$
 $\frac{8y}{3} = x$
inserting value of x in condition 1:
[tex] \frac{8y}{3}-y =50 [/tex]
$\frac{8y-3y}{3}=50$
$5y=50*3$
$y=30$
substituting the value of y in condition 1:
x-30=50
therefore x=80

Answer 2

the nos r 200 and 250
   x-y=50-----------1
x/y=3/8---------2
x=50+y (from 1)
50+y/y=3/y
8(50+y)=3y
400+y=3y
400=3y-y
400=2y
400/2=y
y=200

x=50+y
x=50+200
x=250