SOLUTION: The problem is one number is 2 more then 5 times another number their sum is 24. what are the number. I need the steps on how to solve the problem

Question 235800: The problem is one number is 2 more then 5 times another number their sum is 24. what are the number. I need the steps on how to solve the problem
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x= " a number"
Let y = "another number"
:
Write an equation for what it says (the word "is" usually means =:
:
"one number is 2 more then 5 times another number" their sum is 24."
x = 5y + 2
:
"their sum is 24"
x + y = 24
x = (24-y); this form for substitution
:
what are the numbers?
:
Substitute (24-y) for x in the 1st equation
24 - y = 5y + 2
:
24 - 2 = 5y + y
:
22 = 6y
y = =
y = 3
:
Find x
x = 5y + 2
x = 5() + 2
x = + 2
x = 18 + 2
x = 20
:
:
Check by finding the sum:
20 + 3 = 24
RELATED QUESTIONS
one number is 25 more than 2 times another number. if each number is multiplied by 5,... (answered by Cromlix)

one number is four times another number. the third number is 5 more than the first... (answered by ankor@dixie-net.com)

One number is four times another number, if their sum is 95, what are the numbers? (answered by drj)

One number is fives times another number their sum is 42. What are the... (answered by ewatrrr)

Please help me solve this word problem: One number is 8 more than 3 times another number. (answered by MathLover1)

One number is 3 more than another number. The sum of their reciprocals is 1/2. what are... (answered by josmiceli)

one number is 2 more than 3 times another. their sum is 22. find the... (answered by rfer)

One number is 6 more than three times another. If their sum is 38, what are the two... (answered by rfer)

I don't understand how to arrive at the answers to the following problems: A)One... (answered by jim_thompson5910,jrfrunner)