Question

the difference between two positive integers is 50 and the ratio of these integers is 1:3 find these integers

Answer 1

let the two positive integers = x
3x-1x = 50
2x = 50
x=50/2
=25

first positive integer = 1x
=1(25)
=25
second positive integer = 3x
=3(25)
=75
verifying:
= 75-25
= 50

Answer 2

The difference between two numbers x and y is 50 therefore,

x - y = 50

And they have a ratio of 1:3 then x=3y

Substitute x into the first equation:

3y - y = 50 ,

2y = 50 ,

y = 25,

x =3y ,

x = 3*25,

x = 75