Question

My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than

three times my age. Find my age and my mother’s age.

Answer 1

Answer:

16 years,44 years

Step-by-step explanation:

Let the assume your age be 'x' years.

Then, your mother's age = 2x + 12.

8 years hence:

your age = x + 8.

Mother's age = x + 12 + 8 = x + 20.

According to the given condition,

⇒ 3(x + 8) - 20 = 2x + 12 + 8

⇒ 3x + 24 - 20 = 2x + 20

⇒ 3x + 4 = 2x + 20

⇒ x = 16

Then:

2x + 12

= 2(16) + 12

= 32 + 12

= 44 years.

Therefore:

Your age = 16 years.

Mother's age = 44 years.

Hope it helps!

Answer 2

Answer:

Answer is below:

Step-by-step explanation:

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