SOLUTION: Immediate help! Answer all with solutio n and explanation. 1.When Ramon was 12 years old, his father was 40.How many years must past for Ramon to be 8 years older than one-f

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Question 929834: Immediate help! Answer all with solutio
n and explanation.
1.When Ramon was 12 years old, his father was
40.How many years must past for Ramon to be 8 years
older than one-fourth as old as his father.
2.The sum of the ages of Bobby and Mercy is 60. Nine
yrs ago Bobby was twice as old as Mercy was then.Find
their present age.
3.Tom is 8 yrs old than Steve. Three yrs ago Steve was
2 yrs more than one-third as old as Tom was then.
How old is Tom now?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
1.When Ramon was 12 years old, his father was
40.How many years must past for Ramon to be 8 years
older than one-fourth as old as his father.
let Ramon’s age and father’s age
let years be


This is the overall picture
--------
-------
------


So, =>......eq.1
You can get your second equation from the data.
How many years must past for Ramon to be 8 years
older than one-fourth as old as his father.
...........eq.2
Solve





check:
in years Ramon will be and his father



2.The sum of the ages of Bobby and Mercy is . Nine
yrs ago Bobby was twice as old as Mercy was then.Find
their present age.
let the ages of Bobby be and Mercy
given:
...eq.1
Nine years ago Bobby was twice as old as Mercy was then.
........eq.2
solve the system:
...eq.1
........eq.2
______________________________
...eq.1 solve for
...plug in eq.2
........eq.2...solve for





now find





3.Tom is yrs older than Steve. Three yrs ago Steve was
yrs more than one-third as old as Tom was then.
How old is Tom now?
...eq.1
........eq.2
_________________________________substitute from eq.1 in eq.2
........eq.2.........solve for





go to ...eq.1 .......solve for




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