Translate this word problem as a system of equations and then solve using substitution.
The sum of two numbers is 84. One number is three times the other. Find the numbers. @mathstudent55
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We start in a similar way to the previous problem, assigning variables to the unknown numbers.
Let one number be x. Let the other number be y.
The sum of the numbers is x + y. We are told the sum is 84, so our first equation is
x + y = 84
wht the answer
Then we are told one number is three times the other. We represent that with:
x = 3y
The system of equations is:
x + y = 84
x = 3y
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whats hr answer @mathstudent55
Since the second equation is already solved for x, we just substitute it into the first eqation.
3y + y = 84
4y = 84
y = 21
Now substitute y = 21 into second equation:
x = 3(21)
x = 63
Answer: x = 63, y = 21