SOLUTION: Robert is 78 years old and his friend is 70. How many years ago was Charlie only three-quarters as old as Robert?

Question 983162: Robert is 78 years old and his friend is 70. How many years ago was Charlie only three-quarters as old as Robert?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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x=years ago Charlie was 3/4 as old as Robert
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70-x=3/4(78-x)
70-x=58.5-(3/4)x
11.5=(1/4)x
46=x
ANSWER: Charlie was 3/4 as old as Robert 46 years ago.
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CHECK:
46 years ago, Charlie was (70-46=)24 and Robert was (78-46=)32.
24=(3/4)(32)
24=24

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