Question 222623: Caridad is 6 years older than her sister. Four years ago she was 4 times as old as her sister. How old is Caridad now? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! Caridad is 6 years older than her sister. Four years ago she was 4 times as old as her sister. How old is Caridad now?
Step 1. Let x be age of Caridad's sister
Step 2. Let x+6 be the age of Caridad.
Step 3. Let x+6-4=x+2 be the age of Caridad four years ago.
Step 4. Let x-4 be the age if Caridad's sister four years ago.
Step 5. Then x+2=4(x-4) since four years ago Caridad was 4 times as old as her sister
Step 6. Solving the equation in Step 5 yields the following steps
Add 16-x to both sides of the equation
Divide by 3 to both sides of the equation
Then Now four years ago 12-4=4*(6-4) which is a true statement.
Step 7. ANSWER: Caridad is 12 years old.
I hope the above steps were helpful.
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