SOLUTION: One number is 8 more than 1/2 of another number.The sum of the numbers is 23.What are the numbers?

Algebra.Com
Question 979294: One number is 8 more than 1/2 of another number.The sum of the numbers is 23.What are the numbers?
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Make 'another number' = x
'One number' = (8 + x/2)
Therefore, x + (8 + x/2) = 23
Remove brackets
x + 8 + x/2 = 23
Multiply throughout by 2
=> 2x + 16 + x = 46
Collect like terms
3x = 46 - 16
3x = 30
x = 10
Two numbers are:
10 and 13
Hope this helps:-)

RELATED QUESTIONS

One number is 3 more than another number. The sum of their reciprocals is 1/2. what are... (answered by josmiceli)
One number is 23 more than another number. The sum of the two numbers is 83. Find the two (answered by Alan3354)
One number is 7 more than another number. The sum of the numbers is 63. What are the... (answered by vleith)
One number is seven more than another number. The sum of these two numbers is 101. What... (answered by josgarithmetic)
One number is 7 more than another number, The sum of these two numbers is 101. What are... (answered by tiffany222)
One number is 8 more than another number. The sum of the number is 12 find the 2 numbers (answered by ikleyn)
one number is 8 more than twice another. their sum is 62. what are the numbers? (answered by Alan3354,etutornow.com,greenestamps,dezbee2008)
One number is nine more than another. The sum of the two numbers is 21. What are the... (answered by lynnlo)
One number is 24 more than another the sum of the two numbers is 260 what are the numbers (answered by fractalier)