Question

The difference between two positive integers is 50 and the ratio of these integers is 1 : 3. Find these integers.​

Answer 1

Answer:

First integer = x = 25

Second integer = 3x = 3×25 = 75

Given

Ratio of integers = 1 : 3

Difference = 50

Solution

Let first integer be x.

And Second integer be 3x.

Difference of integers = 50

3x - 1x = 50

2x = 50

x = 50/2

x = 25

First integer = x = 25

Second integer = 3x = 3×25 = 75

Answer 2

Answer:

22,70

Step-by-step explanation:

Let $x$ and  be the two numbers and  $y$ be greater than $x$

The difference of the Integers is

$y$ - $x$ = 50

=> $y$ = $x$ + 50 ------- Equation 1

The ratio of the Integer is,

$\frac{x}{y} = \frac{1}{3} \\\\=>y = x+50$ -------equation 2

Substituting the value of Y in Equation 2,

$3x = x + 50$

$2x =50$

$x = 25$

Substituting the value of X in Equation 2

$y - 25 = 50$

$y = 50 +20\\\\y =70$