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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?

Answer :

littleredstudies
Sally is 45 and Beth is 15.

45 + 15 = 60

15*3 = 45

Answer: Present age of Beth is 24 years.

And Present age of Sally becomes 36 years.

Step-by-step explanation:

Let the present age of Beth be 'x'.

Six years ago,

Age of Beth becomes (x-6) years

Age of Sally becomes

[tex]3(x-6)\ yrs[/tex]

Sum of Sally and Beth's age = 60

According to question, it becomes

[tex]x-6+3(x-6)=60+6+6\\\\x-6+3x-18=72\\\\4x-24=72\\\\4x=72+24\\\\4x=96\\\\x=\frac{96}{4}=24\ yrs[/tex]

So, Present age of Beth is 24 years.

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

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