Question

please answer fast friends....

Answer 1

Answer:

Son = 12 years

Mother = 42 years

Step-by-step explanation:

Let the age of son 6 years before be x

Let the mother's age 6 years before be x$^{2}$

Let the present age of son be x + 6

Let the present age of mother be x$^{2}$ + 6

Let the age of son after 3 years = x + 6 + 3 = x + 9

Let the age of mother after 3 years = x$^{2}$ + 6 + 3 = x$^{2}$ + 9

According to the question,

x$^{2}$ + 9 = 3(x + 9)

x$^{2}$ + 9 = 3x + 27

x$^{2}$ = 3x + 27 - 9

x$^{2}$ = 3x + 18

x$^{2}$ - 3x - 18 = 0

x$^{2}$ - 6x + 3x - 18 = 0

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

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

x = 6     or     x = -3

Taking x = 6 as the other value is '-' (minus)

Finding the present age of son and mother:

Present age of son => x +

=> 6 + 6

=> 12 years

Present age of mother => x$^{2}$ + 6

=> (6$^{2}$) + 6

=> 36 + 6

=> 42 years

∴ The present ages of son and his mother are  12 years and 42 years respectively.

Answer 2

Answer:

Son = 12 years


Mother = 42 years


Step-by-step explanation:


Let the age of son 6 years before be x


Let the mother's age 6 years before be x^{2}2



Let the present age of son be x + 6


Let the present age of mother be x^{2}2 + 6



Let the age of son after 3 years = x + 6 + 3 = x + 9


Let the age of mother after 3 years = x^{2}2+ 6 + 3 = x^{2}2 + 9



According to the question,


x^{2}2 + 9 = 3(x + 9)


x^{2}2 + 9 = 3x + 27


x^{2}2 = 3x + 27 - 9


x^{2}2 = 3x + 18


x^{2}2 - 3x - 18 = 0


x^{2}2 - 6x + 3x - 18 = 0


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


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


x = 6     or     x = -3



Taking x = 6 as the other value is '-' (minus)



Finding the present age of son and mother:



Present age of son => x +



=> 6 + 6


=> 12 years



Present age of mother => x^{2}2 + 6


=> (6^{2}2 ) + 6


=> 36 + 6


=> 42 years





∴ The present ages of son and his mother are  12 years and 42 years respectively.