SOLUTION: One number is 5 more than twice the another. If the sum of the two numbers is 74, find the two numbers. Is this correct. 2(5+x)=74 10+2x =74 -10 -10 2x=64 /2 /2

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Question 164084: One number is 5 more than twice the another. If the sum of the two numbers is 74, find the two numbers.
Is this correct.
2(5+x)=74
10+2x =74
-10 -10
2x=64
/2 /2
x=32
74-32=42
So the two numbers are 32,42
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"One number is 5 more than twice the another" translates to y=2x%2B5

"the sum of the two numbers is 74" translates to x%2By=74


x%2By=74 Start with the second equation


x%2B2x%2B5=74 Plug in y=2x%2B5


3x%2B5=74 Combine like terms on the left side.


3x=74-5 Subtract 5 from both sides.


3x=69 Combine like terms on the right side.


x=%2869%29%2F%283%29 Divide both sides by 3 to isolate x.


x=23 Reduce. So the first number is 23


y=2x%2B5 Go back to the first equation


y=2%2823%29%2B5 Plug in x=23


y=46%2B5 Multiply


y=51 Add. So the second number is 51


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Answer:

So the two numbers are 23 and 51