SOLUTION: "The ratio of my age to my mother's age today is 3:5.
In five years time the ratio will be 7:11.
Let x be the sum of our ages today.
Set up a linear equation and use it to find
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Question 511218: "The ratio of my age to my mother's age today is 3:5.
In five years time the ratio will be 7:11.
Let x be the sum of our ages today.
Set up a linear equation and use it to find our ages in five years.
Start the equation like this:
3x/8+5 =..."
I have started the linear equation but do not know how to continue it. This is all I have so far:
3x/8+5 = 7/18(x+10)
Thank You
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"The ratio of my age to my mother's age today is 3:5.
In five years time the ratio will be 7:11.
---
Your age now: 3x
Mother's age now: 5x
---
Equation:
(3x+5)/(5x+5) = 7/11
---
11(3x+5) = 7(5x+5)
33x + 55 = 35x + 35
2x = 20
x = 10
---
Now Ages:
Your age now = 3x = 30
Mother's age now = 5x = 50
==================================
Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I don't see where the sum of the ages is very helpful. You need two variables, one for each person's age.
Let 
represent the child's age and let 
represent the mothers age.
Situation Today:
Which is to say:
Then you can say:
Situation five years hence:
Which is to say:
Cross-multiply:
Substitute 
for and then solve for . Then calculate to derive .
John
My calculator said it, I believe it, that settles it
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