Question

difference between 2 positive integers is 50,and the ratio of these integers is 1:3. Find the integers..

Answer 1

The difference between two positive integers is 50. The ratio of these integers is 1:3. What are these integers?

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.

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Answer 2

Step-by-step explanation:

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