SOLUTION: The sum of two numbers is 89. Adding four times the first number to the second number gives 155. What is the number.

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Question 126292: The sum of two numbers is 89. Adding four times the first number to the second number gives 155. What is the number.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y
given:
x%2By=89……….(1)
4x%2By=155………(2)
solution:
Solve the system:

x%2By=89……….(1)
x=89-y……….plug in (2)

4%2889-y+%29%2By=155………(2)

356-+4y+%2By=155
356-+3y+=155
356-+155+=3y+

201+=3y+
201%2F3+=y+
+highlight+%28y+=+67%29

x=89-67……….
highlight%28x=22%29……….

Check:
22%2B67=89……….(1)
89=89

4%2A22%2B67=155………(2)

88%2B67=155
155+=155