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Bob is 104. He is twice as old as Alice was when Bob was as old as Alice is now. How old is Alice?

posted by steven | 6:12 AM

Let X be the Alice’s ageLet Y be the age gap between Alice and Bob.So, as Bob is 104, Alice was 52 when Bob was 52 + Y.But 52 + Y = X and X + Y = 104 X + Y = 104 X – Y = 52 2X = 156 X = 78!So, Alice is 78!

Correct!

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## 3 Comments:

Let X be the Alice’s age

Let Y be the age gap between Alice and Bob.

So, as Bob is 104, Alice was 52 when Bob was 52 + Y.

But 52 + Y = X and X + Y = 104

X + Y = 104

X – Y = 52

2X = 156

X = 78!

So, Alice is 78!

Correct!

Correct!

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