Question

the difference between 2 positive integers is 50 and the ratios of thses integers is 1:3. Find these integers​

Answer 1

Answer

75 and 25

Step by Step

x - y = 50 and x/y = 3/1 (x must be > y in order to get a positive sum.)

x/y = 3/1

cross multiply to get

x = 3y

In x - y =50 replace x with 3y

3y - y = 50

Combine like terms

2y = 50

Divide both sides by 2

y = 25

In x - y = 50 Replace y with 25.

x - 25 = 50

Add 25 to both sides

x = 75

Check:

75-25=50

75/25= 3/1

These integers are 75 and 25.

Have A Happy Day ❤️❤️

Answer 2

Step-by-step explanation:

Given:-

difference between the 2 positive integer =50

solution:-

let the 1st positive integer be x

& the 2nd positive integer be 3x

According to the Question:-

3x-x=50

2x=50

x=50/2

x=25

Hence, 1st positive integer x=25

2nd positive integer 3x=3×25 = 75