Question 222583: Carl is twice as old as Rita. Meg is 5 years older than Carl. If the combined age is 155, how old is Meg? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! Carl is twice as old as Rita. Meg is 5 years older than Carl. If the combined age is 155, how old is Meg?
Step 1. Let x be the age of Rita.
Step 2. Let 2x be the age of Carl since he is twice as old as Rita.
Step 3. Let 2x+5 since Meg is 5 years older than Carl.
Step 4. Then x+2x+2x+5=155 since their combined age is 155.
Step 5. Solving the equation in Step 4 yields the following steps.
Subtract 5 from both sides of the equation
Divide by 5 to both sides of the equation
, then and . Note that the combined age is 155.
Step 6. ANSWER: The age of Meg is 65 years old. Note that Carl is 60 years old and Rita is 30 years old.
I hope the above steps were helpful.
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