Question

Six year before,the age of mother equal to the squar of her son's age.three year hence,her age will be thrice the age of her son ,then find there ages.

Answer 1

Answer:

Son = 12 years old and Mother = 42 years old

Step-by-step explanation:

Define x:

Let x be the age of the son 6 years ago

Mother = x²

Find the current age now:

Son = x + 6

Mother = x²  + 6

Find their age 3 years later:

Son = x + 6 + 3 = x + 9

Mother =  x²  + 6 + 3 =  x²  + 9

Solve x:

x²  + 9 = 3(x + 9)

x²  + 9 = 3x + 27

x²  - 3x - 18 = 0

(x - 6)(x + 3) = 0

x = 6 or x = -3 (rejected)

Find their current age:

Son = x + 6 = 6 + 6 = 12 years old

Mother =  x²  + 6 = (6)² + 6 = 42 years old

Answer: Son = 12 years old and Mother = 42 years old

Answer 2

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