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5. Mary is three times older than her son. In 12 years, Mary's age will be one year less than twice her sons age. How old is each now?

Sagot :

Step-by-step explanation:

Okay, so Mary is three times older than her son. That means if her son is x years old, Mary is 3x years old. Got it!

Now, in 12 years, Mary's age will be one year less than twice her son's age. Let me break it down:

Mary's age in 12 years = 3x + 12

Twice her son's age in 12 years = 2(x + 12) = 2x + 24

Now, we know that Mary's age in 12 years will be one year less than twice her son's age:

3x + 12 = 2x + 24 - 1

Simplifying the equation:

3x + 12 = 2x + 23

Subtracting 2x from both sides:

x + 12 = 23

Subtracting 12 from both sides:

x = 11

So, Mary's son is currently 11 years old. And Mary is 33 years old!

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