SOLUTION: Carlo is 12 years old and his grandfather is 66. When in the past has the grandfather been 10 times Carlo's age?

Question 110637: Carlo is 12 years old and his grandfather is 66. When in the past has the grandfather been 10 times Carlo's age?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
When setting up equations to solve word problems, it is often a good idea to define the variable(s) to represent the quantity or quantities we want to discover. In this problem, you only need to calculate one quantity, namely some number of years in the past. Let that be x.
:
So x years ago, Grandpa was 66 - x years old, and Carlos was 12 - x years old, and we know that
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Now all we need to do is solve for x:

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So, 6 years ago, Grandpa was 10 times older than Carlos.
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Check:
:
66-6 = 60, and 12 - 6 = 6, and 6 * 10 = 60. Check!
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