Answer :
ANSWER
The smaller number is 7.
EXPLANATION
Let the numbers be x and y.
Then we have;
y-3x=3... eqn (1)
If the sum of the numbers is 3 then,
y+x=31... eqn (2)
Eqn(2) - Eqn (1)
x--3x=31-3
[tex]4x = 28[/tex]
Divide both sides by 4,
[tex]x = 7[/tex]
We put x=7 into the second equation,
y+7=31
y=31-7
y=24
The smaller of the two numbers is 7.
Answer: The two numbers are 7 and 24. The smaller of the two numbers is 7
Step-by-step explanation:
Let the two numbers be x and y
The mathematical interpretation of the first statement (three times a number is subtracted from another number and the difference is 3) is y - 3x = 3
For the second statement ( the sum of the two numbers is 31), its mathematical interpretation is x+ y = 31
from y = 31 - x
we can substitute y in the equation y - 3x = 3
(31 - x) - 3x = 3
Then we can now proceed and solve for x
31 - x -3x = 3
31 - 4x = 3 subtract 31 from both-side of the equation
31 - 31 - 4x = 3 - 31
-4x = -28
Divide both-side of the equation by -4
[tex]\frac{-4x}{-4} = \frac{-28}{-4}[/tex]
x = 7
substituting x = 7 in y = 31 - x
y = 31 - 7 = 24
x= 7 and y = 24
The two numbers are 7 and 24
Therefore the smaller number is 7