Answer:
the two integers are 20 and 60
Step-by-step explanation:
Let x and y be two positive numbers ,where x < y.
• The difference between the two positive numbers x and y is 40.
Means
y - x = 40
• the ratio of these integers is 1:3
Means
y = 3x
We obtain these two equations:
y - x = 40
y = 3x
Solving the system of equations by substitution :
y - x = 40
y = 3x
⇔
3x - x = 40
y = 3x
⇔
2x = 40
y = 3x
⇔
x = 20
y = 3 × 20 = 60
