SOLUTION: Charles and Jamal are joking about their age and they figure out their combined ages is Grandma's age . If Charles is one and a half times Jamal's age and grandma is a hundred y

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Question 1132276: Charles and Jamal are joking about their age and they figure out their combined
ages is Grandma's age . If Charles is one and a half times Jamal's age and
grandma
is a hundred years old what are Charles and Jamal's age

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
40 and 60 years.


If you need a formal solution to support this totally obvious answer, here it is in couple of lines.

    Let x be the Jamal age, then Charles' age is 1.5x years.  The total of their ages is x + 1.5x = 2.5x, and it is equal to 100;


    hence,  x = 100/2.5 = 40.


Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Charles and Jamal are joking about their age and they figure out their combined
ages is Grandma's age.


If Charles is one and a half times Jamal's age
 change the mixed fraction to an 
improper fraction:

 

and grandma is a hundred years old


Substitute 100 for G in 



what are Charles and Jamal's age
Solve for J:  



Substitute (100-C) for J in





Multiply both sides by 2 to clear the fraction:









 

Substitute 60 for C in







Edwin

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