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) About Me  (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) About Me  (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. 
C%2BJ+=+G

If Charles is one and a half times Jamal's age 
C+=+%281%261%2F2%29%2AJ change the mixed fraction to an 
improper fraction:

C+=+%283%2F2%29%2AJ

and grandma is a hundred years old 
G=100

Substitute 100 for G in C%2BJ=G

C%2BJ=100

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

J=100-C

Substitute (100-C) for J in

C+=+%283%2F2%29%2AJ

C+=+%283%2F2%29%2A%28100-C%29

Multiply both sides by 2 to clear the fraction:

2C+=+3%2A%28100-C%29

2C+=+300-3C

5C+=+300

C+=+300%2F5

C+=+60 

Substitute 60 for C in

C%2BJ+=+100

60%2BJ+=+100

J+=+40

Edwin