Question

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

Answer 1

Answer:

Mary"s age is 33

Her sons age is 11

Step-by-step explanation:

The answer is explained in the attached photo plz check.

Answer 2

Answer:

The age of Mary and her son now is 33 and 11 respectively.

Step-by-step explanation:

Let us assume that Mary's age is 3x and her son's age is x.

Now, it is written that after 12 years, Mary's age will be 1 year less than twice her son's age.

∴ By the problem,

(3x + 12) = 2(x + 12) - 1

⇒ 3x + 12 = 2x + 24 - 1

⇒ 3x - 2x = 23 - 12

⇒ x = 11

∴ The age of Mary's son is 11 years.

∴ Mary's age = 3x = 3 × 11 = 33.

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