SOLUTION: Please help me solve this word problem: Sarah is twice as old as Ben. Ben is 2 years older than Mike. The sum of their ages is 26. How old is each? (I labeled Sarah A, Ben B and Mi

Question 638839: Please help me solve this word problem: Sarah is twice as old as Ben. Ben is 2 years older than Mike. The sum of their ages is 26. How old is each? (I labeled Sarah A, Ben B and Mike C. I tried to make a formula of B^2+(C+2)=26, but I have no idea where to go from there.)
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Please help me solve this word problem: Sarah is twice as old as Ben. Ben is 2 years older than Mike. The sum of their ages is 26. How old is each? (I labeled Sarah A, Ben B and Mike C. I tried to make a formula of B^2+(C+2)=26, but I have no idea where to go from there.)

Let Ben's age be B
Then Sarah is 2B
Mike's age is B - 2

We then have:

B + 2B + B - 2 = 26

4B - 2 = 26

4B = 28

B, or Ben is , or years-old

Sarah is 2(7), or years-old

Mike is 7 - 2, or years-old

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