Question 654459: One number is 5 greater than another number. If the smaller number is added to twice the larger number, the answer is 28. Find the two numbers. if you can will you give the answer in an equation. thanks so much.
-ciara
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! One number is 5 greater than another number.
If the smaller number is added to twice the larger number, the answer is 28.
Find the two numbers.
:
Let a = one number
let b = another number
:
Write an equation for each statement:
"One number is 5 greater than another number."
a = b+5
:
"If the smaller number is added to twice the larger number, the answer is 28."
b + 2a = 28
:
Replace a with (b+5), from the 1st statement
b + 2(b+5) = 28
b + 2b + 10 = 28
3b = 28 - 10
3b = 18
b = 18/3
b = 6
I'll let you find a
:
Check the solutions in the 2nd statement
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