Question

My mother is 12 years more than twice my age. After 8 year's my mother's age will be 20 years less than thrice my age. Find my age and my mother's age ?​

Answer 1

Answer:

your age is 16 and your mother is 44

Step-by-step explanation:

Let your age be x.

Then your mother's age will be 2x + 12.

After 8 years,

Your age will be x + 8.

Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.

This is equal to 2x + 12 + 8 = 2x + 20

2x + 20 = 3x + 4

3x - 2x = 20 - 4

= x = 16

Your age at now = 16

Your mother's age at now = 2 x 16 + 12 = 32 + 12 = 44

44 is the answer.

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