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The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

User Lorenzori
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2 Answers

3 votes
Sally is 45 and Beth is 15.

45 + 15 = 60

15*3 = 45
User Keo
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3 votes

Answer: Present age of Beth is 24 years.

And Present age of Sally becomes 36 years.

Explanation:

Let the present age of Beth be 'x'.

Six years ago,

Age of Beth becomes (x-6) years

Age of Sally becomes


3(x-6)\ yrs

Sum of Sally and Beth's age = 60

According to question, it becomes


x-6+3(x-6)=60+6+6\\\\x-6+3x-18=72\\\\4x-24=72\\\\4x=72+24\\\\4x=96\\\\x=(96)/(4)=24\ yrs

So, Present age of Beth is 24 years.

And Present age of Sally becomes 60-24=36 years.

User Hashchen
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